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157008940 = 225111741981
BaseRepresentation
bin10010101101111…
…00010000101100
3101221102212202221
421112330100230
5310143241230
623325125124
73614361004
oct1126742054
9357385687
10157008940
118069a160
12446b97a4
13266b41ca
1416bd1004
15dbb627a
hex95bc42c

157008940 has 48 divisors (see below), whose sum is σ = 380860704. Its totient is φ = 53734400.

The previous prime is 157008919. The next prime is 157008947. The reversal of 157008940 is 49800751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 157008896 and 157008905.

It is not an unprimeable number, because it can be changed into a prime (157008947) by changing a digit.

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, 17251 + ... + 24730.

It is an arithmetic number, because the mean of its divisors is an integer number (7934598).

Almost surely, 2157008940 is an apocalyptic number.

157008940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157008940 is an abundant number, since it is smaller than the sum of its proper divisors (223851764).

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

157008940 is a wasteful number, since it uses less digits than its factorization.

157008940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42018 (or 42016 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 157008940 is about 12530.3208259007. The cubic root of 157008940 is about 539.4793106206.

The spelling of 157008940 in words is "one hundred fifty-seven million, eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 41981 83962 167924 209905 419810 461791 713677 839620 923582 1427354 1847164 2308955 2854708 3568385 4617910 7136770 7850447 9235820 14273540 15700894 31401788 39252235 78504470 157008940