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5201860140 = 22325312334001
BaseRepresentation
bin1001101100000111…
…00001011000101100
3111102112012212121200
410312003201120230
541123134011030
62220101525500
7242623040001
oct46603413054
914375185550
105201860140
11222a350574
121012113890
1364b917769
14374c098a8
15206a2bd60
hex1360e162c

5201860140 has 144 divisors (see below), whose sum is σ = 16361968896. Its totient is φ = 1336320000.

The previous prime is 5201860129. The next prime is 5201860151. The reversal of 5201860140 is 410681025.

5201860140 is a `hidden beast` number, since 5 + 2 + 0 + 18 + 601 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5201860129) and next prime (5201860151).

It is a super-2 number, since 2×52018601402 = 54118697832241639200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298140 + ... + 1302140.

It is an arithmetic number, because the mean of its divisors is an integer number (113624784).

Almost surely, 25201860140 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 5201860140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180984448).

5201860140 is an abundant number, since it is smaller than the sum of its proper divisors (11160108756).

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

5201860140 is a wasteful number, since it uses less digits than its factorization.

5201860140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5201860140 is about 72123.9221063303. The cubic root of 5201860140 is about 1732.6847663117.

The spelling of 5201860140 in words is "five billion, two hundred one million, eight hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 233 279 310 372 465 466 558 620 699 930 932 1116 1165 1395 1398 1860 2097 2330 2790 2796 3495 4001 4194 4660 5580 6990 7223 8002 8388 10485 12003 13980 14446 16004 20005 20970 21669 24006 28892 36009 36115 40010 41940 43338 48012 60015 65007 72018 72230 80020 86676 108345 120030 124031 130014 144036 144460 180045 216690 240060 248062 260028 325035 360090 372093 433380 496124 620155 650070 720180 744186 932233 1116279 1240310 1300140 1488372 1860465 1864466 2232558 2480620 2796699 3720930 3728932 4465116 4661165 5581395 5593398 7441860 8390097 9322330 11162790 11186796 13983495 16780194 18644660 22325580 27966990 28899223 33560388 41950485 55933980 57798446 83900970 86697669 115596892 144496115 167801940 173395338 260093007 288992230 346790676 433488345 520186014 577984460 866976690 1040372028 1300465035 1733953380 2600930070 5201860140