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672580480 = 27511137349
BaseRepresentation
bin101000000101101…
…100001110000000
31201212120121222011
4220011230032000
52334140033410
6150423422304
722444561015
oct5005541600
91655517864
10672580480
11315721740
121692b4994
13a945bb20
146547b70c
153e0a818a
hex2816c380

672580480 has 128 divisors (see below), whose sum is σ = 1889244000. Its totient is φ = 225730560.

The previous prime is 672580453. The next prime is 672580511. The reversal of 672580480 is 84085276.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 87846 + ... + 95194.

Almost surely, 2672580480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944622000).

672580480 is an abundant number, since it is smaller than the sum of its proper divisors (1216663520).

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

672580480 is a wasteful number, since it uses less digits than its factorization.

672580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 672580480 is about 25934.1566278913. The cubic root of 672580480 is about 876.1559600830.

The spelling of 672580480 in words is "six hundred seventy-two million, five hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 7349 8320 9152 11440 14698 18304 22880 29396 36745 45760 58792 73490 80839 91520 95537 117584 146980 161678 191074 235168 293960 323356 382148 404195 470336 477685 587920 646712 764296 808390 940672 955370 1050907 1175840 1293424 1528592 1616780 1910740 2101814 2351680 2586848 3057184 3233560 3821480 4203628 4703360 5173696 5254535 6114368 6467120 7642960 8407256 10347392 10509070 12228736 12934240 15285920 16814512 21018140 25868480 30571840 33629024 42036280 51736960 61143680 67258048 84072560 134516096 168145120 336290240 672580480