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672053520 = 2435171271297
BaseRepresentation
bin101000000011101…
…011100100010000
31201211120212010010
4220003223210100
52334021203040
6150404234520
722440234465
oct5003534420
91654525103
10672053520
113153a1836
1216909ba40
13a9306008
146538166c
153e001e80
hex280eb910

672053520 has 160 divisors (see below), whose sum is σ = 2225000448. Its totient is φ = 167215104.

The previous prime is 672053497. The next prime is 672053521. The reversal of 672053520 is 25350276.

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

It is not an unprimeable number, because it can be changed into a prime (672053521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517512 + ... + 518808.

Almost surely, 2672053520 is an apocalyptic number.

672053520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112500224).

672053520 is an abundant number, since it is smaller than the sum of its proper divisors (1552946928).

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

672053520 is a wasteful number, since it uses less digits than its factorization.

672053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 672053520 is about 25923.9950624899. The cubic root of 672053520 is about 875.9270805214.

The spelling of 672053520 in words is "six hundred seventy-two million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 127 136 170 204 240 254 255 272 340 381 408 508 510 635 680 762 816 1016 1020 1270 1297 1360 1524 1905 2032 2040 2159 2540 2594 3048 3810 3891 4080 4318 5080 5188 6096 6477 6485 7620 7782 8636 10160 10376 10795 12954 12970 15240 15564 17272 19455 20752 21590 22049 25908 25940 30480 31128 32385 34544 38910 43180 44098 51816 51880 62256 64770 66147 77820 86360 88196 103632 103760 110245 129540 132294 155640 164719 172720 176392 220490 259080 264588 311280 329438 330735 352784 440980 494157 518160 529176 658876 661470 823595 881960 988314 1058352 1317752 1322940 1647190 1763920 1976628 2470785 2635504 2645880 2800223 3294380 3953256 4941570 5291760 5600446 6588760 7906512 8400669 9883140 11200892 13177520 14001115 16801338 19766280 22401784 28002230 33602676 39532560 42003345 44803568 56004460 67205352 84006690 112008920 134410704 168013380 224017840 336026760 672053520