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164045640 = 233511124277
BaseRepresentation
bin10011100011100…
…10001101001000
3102102200101022110
421301302031020
5313443430030
624140022320
74031236113
oct1161621510
9372611273
10164045640
1184665a10
1246b319a0
1327ca9035
1417b0357a
15e6061b0
hex9c72348

164045640 has 64 divisors (see below), whose sum is σ = 536880960. Its totient is φ = 39768320.

The previous prime is 164045621. The next prime is 164045641. The reversal of 164045640 is 46540461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164045598 and 164045607.

It is not an unprimeable number, because it can be changed into a prime (164045641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60819 + ... + 63458.

It is an arithmetic number, because the mean of its divisors is an integer number (8388765).

Almost surely, 2164045640 is an apocalyptic number.

164045640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164045640 is an abundant number, since it is smaller than the sum of its proper divisors (372835320).

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

164045640 is a wasteful number, since it uses less digits than its factorization.

164045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124302 (or 124298 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 164045640 is about 12808.0302935307. The cubic root of 164045640 is about 547.4211391597.

The spelling of 164045640 in words is "one hundred sixty-four million, forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 124277 248554 372831 497108 621385 745662 994216 1242770 1367047 1491324 1864155 2485540 2734094 2982648 3728310 4101141 4971080 5468188 6835235 7456620 8202282 10936376 13670470 14913240 16404564 20505705 27340940 32809128 41011410 54681880 82022820 164045640