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159123940 = 2257321493
BaseRepresentation
bin10010111110000…
…00100111100100
3102002102100000021
421133000213210
5311213431230
623442324524
73641350123
oct1137004744
9362370007
10159123940
1181904198
1245359744
1326c74aa1
14171c1aba
15de82c7a
hex97c09e4

159123940 has 36 divisors (see below), whose sum is σ = 339027444. Its totient is φ = 62735616.

The previous prime is 159123919. The next prime is 159123953. The reversal of 159123940 is 49321951.

It can be written as a sum of positive squares in 6 ways, for example, as 6749604 + 152374336 = 2598^2 + 12344^2 .

It is a super-2 number, since 2×1591239402 = 50640856562247200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 159123896 and 159123905.

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 11 ways as a sum of consecutive naturals, for example, 105834 + ... + 107326.

It is an arithmetic number, because the mean of its divisors is an integer number (9417429).

Almost surely, 2159123940 is an apocalyptic number.

159123940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159123940 is an abundant number, since it is smaller than the sum of its proper divisors (179903504).

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

159123940 is a wasteful number, since it uses less digits than its factorization.

159123940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 159123940 is about 12614.4337962510. The cubic root of 159123940 is about 541.8908791183.

The spelling of 159123940 in words is "one hundred fifty-nine million, one hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 1493 2986 5329 5972 7465 10658 14930 21316 26645 29860 53290 106580 108989 217978 435956 544945 1089890 2179780 7956197 15912394 31824788 39780985 79561970 159123940