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664730640 = 243257131891
BaseRepresentation
bin100111100111101…
…111110000010000
31201022210211000100
4213213233300100
52330132340030
6145543252400
722321055130
oct4747576020
91638724010
10664730640
1131124aa72
1216674a100
13a7940b52
14643d6ac0
153d557360
hex279efc10

664730640 has 120 divisors (see below), whose sum is σ = 2551318848. Its totient is φ = 151937280.

The previous prime is 664730609. The next prime is 664730657. The reversal of 664730640 is 46037466.

664730640 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 664730595 and 664730604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60906 + ... + 70985.

Almost surely, 2664730640 is an apocalyptic number.

664730640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664730640 is an abundant number, since it is smaller than the sum of its proper divisors (1886588208).

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

664730640 is a wasteful number, since it uses less digits than its factorization.

664730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131917 (or 131908 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 664730640 is about 25782.3707210955. The cubic root of 664730640 is about 872.7340072870.

The spelling of 664730640 in words is "six hundred sixty-four million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 131891 263782 395673 527564 659455 791346 923237 1055128 1187019 1318910 1582692 1846474 1978365 2110256 2374038 2637820 2769711 3165384 3692948 3956730 4616185 4748076 5275640 5539422 5935095 6330768 7385896 7913460 8309133 9232370 9496152 10551280 11078844 11870190 13848555 14771792 15826920 16618266 18464740 18992304 22157688 23740380 27697110 31653840 33236532 36929480 41545665 44315376 47480760 55394220 66473064 73858960 83091330 94961520 110788440 132946128 166182660 221576880 332365320 664730640