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164041380 = 22325911341
BaseRepresentation
bin10011100011100…
…01001010100100
3102102200011110200
421301301022210
5313443311010
624135550500
74031220516
oct1161611244
9372604420
10164041380
1184662798
1246b2b430
1327ca7109
1417b01bb6
15e604cc0
hex9c712a4

164041380 has 36 divisors (see below), whose sum is σ = 497592732. Its totient is φ = 43744320.

The previous prime is 164041373. The next prime is 164041399. The reversal of 164041380 is 83140461.

164041380 is a `hidden beast` number, since 1 + 640 + 4 + 13 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126292644 + 37748736 = 11238^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455491 + ... + 455850.

Almost surely, 2164041380 is an apocalyptic number.

164041380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164041380 is an abundant number, since it is smaller than the sum of its proper divisors (333551352).

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

164041380 is a wasteful number, since it uses less digits than its factorization.

164041380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911356 (or 911351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164041380 is about 12807.8639905333. The cubic root of 164041380 is about 547.4164005714.

The spelling of 164041380 in words is "one hundred sixty-four million, forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 911341 1822682 2734023 3645364 4556705 5468046 8202069 9113410 10936092 13670115 16404138 18226820 27340230 32808276 41010345 54680460 82020690 164041380