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159090816 = 2732318013
BaseRepresentation
bin10010111101110…
…00100010000000
3102002100122120110
421132320202000
5311211401231
623441511320
73641151423
oct1136704200
9362318513
10159090816
1181891315
1245342540
1326c629a1
14171b39ba
15de78046
hex97b8880

159090816 has 64 divisors (see below), whose sum is σ = 440982720. Its totient is φ = 50721792.

The previous prime is 159090797. The next prime is 159090823. The reversal of 159090816 is 618090951.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 17838.

It is an arithmetic number, because the mean of its divisors is an integer number (6890355).

Almost surely, 2159090816 is an apocalyptic number.

159090816 is a gapful number since it is divisible by the number (16) 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 159090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220491360).

159090816 is an abundant number, since it is smaller than the sum of its proper divisors (281891904).

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

159090816 is a wasteful number, since it uses less digits than its factorization.

159090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18053 (or 18041 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 159090816 is about 12613.1207874974. The cubic root of 159090816 is about 541.8532756437.

The spelling of 159090816 in words is "one hundred fifty-nine million, ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 18013 36026 54039 72052 108078 144104 216156 288208 414299 432312 576416 828598 864624 1152832 1242897 1657196 1729248 2305664 2485794 3314392 3458496 4971588 6628784 6916992 9943176 13257568 19886352 26515136 39772704 53030272 79545408 159090816