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164635740 = 22345101627
BaseRepresentation
bin10011101000000…
…10010001011100
3102110210100210000
421310002101130
5314121320430
624200414300
74036244403
oct1164022134
9373710700
10164635740
1184a292a5
1247177390
13281547c9
1417c1863a
15e6c0e60
hex9d0245c

164635740 has 60 divisors (see below), whose sum is σ = 516473496. Its totient is φ = 43902432.

The previous prime is 164635721. The next prime is 164635819. The reversal of 164635740 is 47536461.

It is a happy number.

164635740 is a `hidden beast` number, since 1 + 646 + 3 + 5 + 7 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 164635695 and 164635704.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 49194 + ... + 52433.

Almost surely, 2164635740 is an apocalyptic number.

164635740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164635740 is an abundant number, since it is smaller than the sum of its proper divisors (351837756).

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

164635740 is a wasteful number, since it uses less digits than its factorization.

164635740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101648 (or 101637 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164635740 is about 12831.0459433360. The cubic root of 164635740 is about 548.0767425868.

The spelling of 164635740 in words is "one hundred sixty-four million, six hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 101627 203254 304881 406508 508135 609762 914643 1016270 1219524 1524405 1829286 2032540 2743929 3048810 3658572 4573215 5487858 6097620 8231787 9146430 10975716 13719645 16463574 18292860 27439290 32927148 41158935 54878580 82317870 164635740