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159213924 = 22347012
BaseRepresentation
bin10010111110101…
…10100101100100
3102002120220110000
421133112211210
5311224321144
623444301300
73642203352
oct1137264544
9362526400
10159213924
1181965861
12453a1830
1326ca6a2c
14172067d2
15de9e769
hex97d6964

159213924 has 45 divisors (see below), whose sum is σ = 416811241. Its totient is φ = 52995600.

The previous prime is 159213917. The next prime is 159213937. The reversal of 159213924 is 429312951.

The square root of 159213924 is 12618.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137311524 + 21902400 = 11718^2 + 4680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 226774 + ... + 227474.

Almost surely, 2159213924 is an apocalyptic number.

159213924 is the 12618-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159213924

159213924 is an abundant number, since it is smaller than the sum of its proper divisors (257597317).

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

159213924 is an frugal number, since it uses more digits than its factorization.

159213924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 706 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The cubic root of 159213924 is about 541.9930056332.

Multiplying 159213924 by its sum of digits (36), we get a square (5731701264 = 757082).

159213924 divided by its sum of digits (36) gives a square (4422609 = 21032).

The spelling of 159213924 in words is "one hundred fifty-nine million, two hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 701 1402 2103 2804 4206 6309 8412 12618 18927 25236 37854 56781 75708 113562 227124 491401 982802 1474203 1965604 2948406 4422609 5896812 8845218 13267827 17690436 26535654 39803481 53071308 79606962 159213924