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2145353420 = 2257174320963
BaseRepresentation
bin111111111011111…
…0111111011001100
312112111212020122002
41333313313323030
513343202302140
6552514211432
7104110126460
oct17767677314
95474766562
102145353420
11a00aa5861
124ba583b78
1328260a2c2
14164cd44a0
15c8525415
hex7fdf7ecc

2145353420 has 96 divisors (see below), whose sum is σ = 5578771968. Its totient is φ = 676150272.

The previous prime is 2145353393. The next prime is 2145353429. The reversal of 2145353420 is 243535412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2145353429) 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, 91859 + ... + 112821.

It is an arithmetic number, because the mean of its divisors is an integer number (58112208).

Almost surely, 22145353420 is an apocalyptic number.

2145353420 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 2145353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789385984).

2145353420 is an abundant number, since it is smaller than the sum of its proper divisors (3433418548).

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

2145353420 is a wasteful number, since it uses less digits than its factorization.

2145353420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21039 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2145353420 is about 46317.9600155275. The cubic root of 2145353420 is about 1289.7324165061.

Adding to 2145353420 its reverse (243535412), we get a palindrome (2388888832).

The spelling of 2145353420 in words is "two billion, one hundred forty-five million, three hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 68 70 85 86 119 140 170 172 215 238 301 340 430 476 595 602 731 860 1190 1204 1462 1505 2380 2924 3010 3655 5117 6020 7310 10234 14620 20468 20963 25585 41926 51170 83852 102340 104815 146741 209630 293482 356371 419260 586964 712742 733705 901409 1425484 1467410 1781855 1802818 2494597 2934820 3563710 3605636 4507045 4989194 6309863 7127420 9014090 9978388 12472985 12619726 15323953 18028180 24945970 25239452 30647906 31549315 49891940 61295812 63098630 76619765 107267671 126197260 153239530 214535342 306479060 429070684 536338355 1072676710 2145353420