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157242120 = 23357187193
BaseRepresentation
bin10010101111101…
…01001100001000
3101221212201122020
421113311030020
5310223221440
623334124440
73616351560
oct1127651410
9357781566
10157242120
1180839372
12447b0720
1326766399
1416c51da0
15dc103d0
hex95f5308

157242120 has 64 divisors (see below), whose sum is σ = 539118720. Its totient is φ = 35940864.

The previous prime is 157242091. The next prime is 157242133. The reversal of 157242120 is 21242751.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92757 + ... + 94436.

It is an arithmetic number, because the mean of its divisors is an integer number (8423730).

Almost surely, 2157242120 is an apocalyptic number.

157242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157242120 is an abundant number, since it is smaller than the sum of its proper divisors (381876600).

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

157242120 is a wasteful number, since it uses less digits than its factorization.

157242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187214 (or 187210 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 157242120 is about 12539.6220038724. The cubic root of 157242120 is about 539.7462456590.

Adding to 157242120 its reverse (21242751), we get a palindrome (178484871).

The spelling of 157242120 in words is "one hundred fifty-seven million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 187193 374386 561579 748772 935965 1123158 1310351 1497544 1871930 2246316 2620702 2807895 3743860 3931053 4492632 5241404 5615790 6551755 7487720 7862106 10482808 11231580 13103510 15724212 19655265 22463160 26207020 31448424 39310530 52414040 78621060 157242120