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157188020 = 22511811881
BaseRepresentation
bin10010101111001…
…11111110110100
3101221202222102112
421113213332310
5310220004040
623333030152
73616035053
oct1127477664
9357688375
10157188020
1180801760
1244785358
1326747882
1416c3a39a
15dbee365
hex95e7fb4

157188020 has 48 divisors (see below), whose sum is σ = 360956736. Its totient is φ = 57024000.

The previous prime is 157188013. The next prime is 157188023. The reversal of 157188020 is 20881751.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157188023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177980 + ... + 178860.

It is an arithmetic number, because the mean of its divisors is an integer number (7519932).

Almost surely, 2157188020 is an apocalyptic number.

157188020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157188020 is an abundant number, since it is smaller than the sum of its proper divisors (203768716).

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

157188020 is a wasteful number, since it uses less digits than its factorization.

157188020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 157188020 is about 12537.4646559821. The cubic root of 157188020 is about 539.6843376889.

The spelling of 157188020 in words is "one hundred fifty-seven million, one hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 811 881 1622 1762 3244 3524 4055 4405 8110 8810 8921 9691 16220 17620 17842 19382 35684 38764 44605 48455 89210 96910 178420 193820 714491 1428982 2857964 3572455 7144910 7859401 14289820 15718802 31437604 39297005 78594010 157188020