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2020143120 = 2435711031151
BaseRepresentation
bin111100001101000…
…1111000000010000
312012210020220101120
41320122033000100
513114124034440
6532242402240
7101026635042
oct17032170020
95183226346
102020143120
11947355476
12484660380
132626aa978
1415241da92
15bc540dd0
hex7868f010

2020143120 has 160 divisors (see below), whose sum is σ = 6417874944. Its totient is φ = 525504000.

The previous prime is 2020143119. The next prime is 2020143121. The reversal of 2020143120 is 213410202.

It is an interprime number because it is at equal distance from previous prime (2020143119) and next prime (2020143121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2020143120.

It is not an unprimeable number, because it can be changed into a prime (2020143121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754545 + ... + 1755695.

Almost surely, 22020143120 is an apocalyptic number.

2020143120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208937472).

2020143120 is an abundant number, since it is smaller than the sum of its proper divisors (4397731824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2020143120 is a wasteful number, since it uses less digits than its factorization.

2020143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2020143120 is about 44946.0022693899. The cubic root of 2020143120 is about 1264.1367187745.

Adding to 2020143120 its reverse (213410202), we get a palindrome (2233553322).

The spelling of 2020143120 in words is "two billion, twenty million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 103 120 142 206 213 240 284 309 355 412 426 515 568 618 710 824 852 1030 1065 1136 1151 1236 1420 1545 1648 1704 2060 2130 2302 2472 2840 3090 3408 3453 4120 4260 4604 4944 5680 5755 6180 6906 7313 8240 8520 9208 11510 12360 13812 14626 17040 17265 18416 21939 23020 24720 27624 29252 34530 36565 43878 46040 55248 58504 69060 73130 81721 87756 92080 109695 117008 118553 138120 146260 163442 175512 219390 237106 245163 276240 292520 326884 351024 355659 408605 438780 474212 490326 585040 592765 653768 711318 817210 877560 948424 980652 1185530 1225815 1307536 1422636 1634420 1755120 1778295 1896848 1961304 2371060 2451630 2845272 3268840 3556590 3922608 4742120 4903260 5690544 6537680 7113180 8417263 9484240 9806520 14226360 16834526 19613040 25251789 28452720 33669052 42086315 50503578 67338104 84172630 101007156 126258945 134676208 168345260 202014312 252517890 336690520 404028624 505035780 673381040 1010071560 2020143120