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164930864 = 247341733
BaseRepresentation
bin10011101010010…
…10010100110000
3102111100100121112
421311022110300
5314210241424
624211012452
74041614000
oct1165122460
9374310545
10164930864
118510aaaa
124729a128
1328228c37
1417c94000
15e72d60e
hex9d4a530

164930864 has 80 divisors (see below), whose sum is σ = 382267200. Its totient is φ = 68866560.

The previous prime is 164930827. The next prime is 164930873. The reversal of 164930864 is 468039461.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224642 + ... + 225374.

It is an arithmetic number, because the mean of its divisors is an integer number (4778340).

Almost surely, 2164930864 is an apocalyptic number.

164930864 is a gapful number since it is divisible by the number (14) 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 164930864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191133600).

164930864 is an abundant number, since it is smaller than the sum of its proper divisors (217336336).

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

164930864 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (164930865) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (803).

164930864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 164930864 is about 12842.5411815575. The cubic root of 164930864 is about 548.4040389685.

The spelling of 164930864 in words is "one hundred sixty-four million, nine hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 343 392 574 656 686 733 784 1148 1372 1466 2009 2296 2744 2932 4018 4592 5131 5488 5864 8036 10262 11728 14063 16072 20524 28126 30053 32144 35917 41048 56252 60106 71834 82096 112504 120212 143668 210371 225008 240424 251419 287336 420742 480848 502838 574672 841484 1005676 1472597 1682968 2011352 2945194 3365936 4022704 5890388 10308179 11780776 20616358 23561552 41232716 82465432 164930864