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164796940 = 225711113947
BaseRepresentation
bin10011101001010…
…01101000001100
3102111002112220101
421310221220030
5314142000230
624204100444
74040515360
oct1164515014
9374075811
10164796940
1185029420
1247234724
13281acca9
1417c5b2a0
15e703aca
hex9d29a0c

164796940 has 96 divisors (see below), whose sum is σ = 435746304. Its totient is φ = 50856960.

The previous prime is 164796883. The next prime is 164796949. The reversal of 164796940 is 49697461.

It is not an unprimeable number, because it can be changed into a prime (164796949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173547 + ... + 174493.

It is an arithmetic number, because the mean of its divisors is an integer number (4539024).

Almost surely, 2164796940 is an apocalyptic number.

164796940 is a gapful number since it is divisible by the number (10) 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 164796940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217873152).

164796940 is an abundant number, since it is smaller than the sum of its proper divisors (270949364).

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

164796940 is a wasteful number, since it uses less digits than its factorization.

164796940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 164796940 is about 12837.3260455595. The cubic root of 164796940 is about 548.2555639273.

The spelling of 164796940 in words is "one hundred sixty-four million, seven hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 220 226 308 385 452 565 770 791 947 1130 1243 1540 1582 1894 2260 2486 3164 3788 3955 4735 4972 6215 6629 7910 8701 9470 10417 12430 13258 15820 17402 18940 20834 24860 26516 33145 34804 41668 43505 52085 66290 72919 87010 104170 107011 132580 145838 174020 208340 214022 291676 364595 428044 535055 729190 749077 1070110 1177121 1458380 1498154 2140220 2354242 2996308 3745385 4708484 5885605 7490770 8239847 11771210 14981540 16479694 23542420 32959388 41199235 82398470 164796940