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169920972 = 2232131093331
BaseRepresentation
bin10100010000011…
…00100111001100
3102211201212202100
422020030213030
5321444432342
624505555100
74132206264
oct1210144714
9384655670
10169920972
1187a09161
1248aa5a90
1329285370
14187d27a4
15edb6e4c
hexa20c9cc

169920972 has 72 divisors (see below), whose sum is σ = 466946480. Its totient is φ = 51788160.

The previous prime is 169920953. The next prime is 169920973. The reversal of 169920972 is 279029961.

It is not an unprimeable number, because it can be changed into a prime (169920973) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49347 + ... + 52677.

Almost surely, 2169920972 is an apocalyptic number.

169920972 is a gapful number since it is divisible by the number (12) 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 169920972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233473240).

169920972 is an abundant number, since it is smaller than the sum of its proper divisors (297025508).

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

169920972 is a wasteful number, since it uses less digits than its factorization.

169920972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 169920972 is about 13035.3738726590. The cubic root of 169920972 is about 553.8799715640.

The spelling of 169920972 in words is "one hundred sixty-nine million, nine hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 218 234 327 436 468 654 981 1308 1417 1962 2834 3331 3924 4251 5668 6662 8502 9993 12753 13324 17004 19986 25506 29979 39972 43303 51012 59958 86606 119916 129909 173212 259818 363079 389727 519636 726158 779454 1089237 1452316 1558908 2178474 3267711 4356948 4720027 6535422 9440054 13070844 14160081 18880108 28320162 42480243 56640324 84960486 169920972