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672708480 = 27351013469
BaseRepresentation
bin101000000110001…
…011011110000000
31201212211010112220
4220012023132000
52334203132410
6150430251040
722445633133
oct5006133600
91655733486
10672708480
113157a9924
12169356a80
13a94a5172
14654b221a
153e0d1070
hex2818b780

672708480 has 128 divisors (see below), whose sum is σ = 2166112800. Its totient is φ = 177561600.

The previous prime is 672708467. The next prime is 672708493. The reversal of 672708480 is 84807276.

It is an interprime number because it is at equal distance from previous prime (672708467) and next prime (672708493).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 192186 + ... + 195654.

Almost surely, 2672708480 is an apocalyptic number.

672708480 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 672708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083056400).

672708480 is an abundant number, since it is smaller than the sum of its proper divisors (1493404320).

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

672708480 is a wasteful number, since it uses less digits than its factorization.

672708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 672708480 is about 25936.6242984703. The cubic root of 672708480 is about 876.2115374960.

The spelling of 672708480 in words is "six hundred seventy-two million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 303 320 384 404 480 505 606 640 808 960 1010 1212 1515 1616 1920 2020 2424 3030 3232 3469 4040 4848 6060 6464 6938 8080 9696 10407 12120 12928 13876 16160 17345 19392 20814 24240 27752 32320 34690 38784 41628 48480 52035 55504 64640 69380 83256 96960 104070 111008 138760 166512 193920 208140 222016 277520 333024 350369 416280 444032 555040 666048 700738 832560 1051107 1110080 1332096 1401476 1665120 1751845 2102214 2220160 2802952 3330240 3503690 4204428 5255535 5605904 6660480 7007380 8408856 10511070 11211808 14014760 16817712 21022140 22423616 28029520 33635424 42044280 44847232 56059040 67270848 84088560 112118080 134541696 168177120 224236160 336354240 672708480