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664362120 = 233510695179
BaseRepresentation
bin100111100110010…
…101110010001000
31201022010002111110
4213212111302020
52330034041440
6145531330320
722314661542
oct4746256210
91638102443
10664362120
11311019104
121665b09a0
13a78421a6
146433c692
153d4d3080
hex27995c88

664362120 has 64 divisors (see below), whose sum is σ = 1995336000. Its totient is φ = 176963328.

The previous prime is 664362119. The next prime is 664362133. The reversal of 664362120 is 21263466.

It is a super-4 number, since 4×6643621204 (a number of 36 digits) contains 4444 as substring.

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

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, 125691 + ... + 130869.

It is an arithmetic number, because the mean of its divisors is an integer number (31177125).

Almost surely, 2664362120 is an apocalyptic number.

664362120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664362120 is an abundant number, since it is smaller than the sum of its proper divisors (1330973880).

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

664362120 is a wasteful number, since it uses less digits than its factorization.

664362120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 664362120 is about 25775.2229864263. Note that the first 3 decimals coincide. The cubic root of 664362120 is about 872.5726991473.

The spelling of 664362120 in words is "six hundred sixty-four million, three hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1069 2138 3207 4276 5179 5345 6414 8552 10358 10690 12828 15537 16035 20716 21380 25656 25895 31074 32070 41432 42760 51790 62148 64140 77685 103580 124296 128280 155370 207160 310740 621480 5536351 11072702 16609053 22145404 27681755 33218106 44290808 55363510 66436212 83045265 110727020 132872424 166090530 221454040 332181060 664362120