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152202540 = 223571919073
BaseRepresentation
bin10010001001001…
…10110100101100
3101121101200122010
421010212310230
5302430440130
623034121220
73525462120
oct1104466454
9347350563
10152202540
1178a07026
1242b80210
13256c0599
14162dd580
15d5670b0
hex9126d2c

152202540 has 96 divisors (see below), whose sum is σ = 512709120. Its totient is φ = 32956416.

The previous prime is 152202517. The next prime is 152202541. The reversal of 152202540 is 45202251.

It is a happy number.

It is a super-2 number, since 2×1522025402 = 46331226364903200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (152202541) 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, 1557 + ... + 17516.

It is an arithmetic number, because the mean of its divisors is an integer number (5340720).

Almost surely, 2152202540 is an apocalyptic number.

152202540 is a gapful number since it is divisible by the number (10) 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 152202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256354560).

152202540 is an abundant number, since it is smaller than the sum of its proper divisors (360506580).

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

152202540 is a wasteful number, since it uses less digits than its factorization.

152202540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19111 (or 19109 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 152202540 is about 12337.0393531025. The cubic root of 152202540 is about 533.9172675488.

Adding to 152202540 its reverse (45202251), we get a palindrome (197404791).

The spelling of 152202540 in words is "one hundred fifty-two million, two hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 19073 38146 57219 76292 95365 114438 133511 190730 228876 267022 286095 362387 381460 400533 534044 572190 667555 724774 801066 1087161 1144380 1335110 1449548 1602132 1811935 2002665 2174322 2536709 2670220 3623870 4005330 4348644 5073418 5435805 7247740 7610127 8010660 10146836 10871610 12683545 15220254 21743220 25367090 30440508 38050635 50734180 76101270 152202540