Search a number
-
+
5963220720 = 243258993059
BaseRepresentation
bin1011000110110111…
…11000011011110000
3120101120211222222200
411203123320123300
544203041030340
62423420303200
7300526353102
oct54333703360
916346758880
105963220720
11259009aa96
1211a50a1b00
1374058c192
14407d97572
1524d7c0330
hex1636f86f0

5963220720 has 120 divisors (see below), whose sum is σ = 20251717200. Its totient is φ = 1572307968.

The previous prime is 5963220719. The next prime is 5963220721. The reversal of 5963220720 is 270223695.

It is an interprime number because it is at equal distance from previous prime (5963220719) and next prime (5963220721).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5963220721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17551 + ... + 110609.

It is an arithmetic number, because the mean of its divisors is an integer number (168764310).

Almost surely, 25963220720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5963220720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10125858600).

5963220720 is an abundant number, since it is smaller than the sum of its proper divisors (14288496480).

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

5963220720 is a wasteful number, since it uses less digits than its factorization.

5963220720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93167 (or 93158 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5963220720 is about 77221.8927506960. The cubic root of 5963220720 is about 1813.4000699319.

The spelling of 5963220720 in words is "five billion, nine hundred sixty-three million, two hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 8010 10680 12816 16020 21360 32040 64080 93059 186118 279177 372236 465295 558354 744472 837531 930590 1116708 1395885 1488944 1675062 1861180 2233416 2791770 3350124 3722360 4187655 4466832 5583540 6700248 7444720 8282251 8375310 11167080 13400496 16564502 16750620 22334160 24846753 33129004 33501240 41411255 49693506 66258008 67002480 74540259 82822510 99387012 124233765 132516016 149080518 165645020 198774024 248467530 298161036 331290040 372701295 397548048 496935060 596322072 662580080 745402590 993870120 1192644144 1490805180 1987740240 2981610360 5963220720