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672867120 = 243525710909
BaseRepresentation
bin101000000110110…
…010001100110000
31201220010012011110
4220012302030300
52334223221440
6150433513320
722450163502
oct5006621460
91656105143
10672867120
113158a8032
12169412840
13a952c433
1465513d72
153e113080
hex281b2330

672867120 has 80 divisors (see below), whose sum is σ = 2094196320. Its totient is φ = 178716672.

The previous prime is 672867119. The next prime is 672867133. The reversal of 672867120 is 21768276.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6728671202 = 905500322354188800, which contains 22 as substring.

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, 56226 + ... + 67134.

It is an arithmetic number, because the mean of its divisors is an integer number (26177454).

Almost surely, 2672867120 is an apocalyptic number.

672867120 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 672867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047098160).

672867120 is an abundant number, since it is smaller than the sum of its proper divisors (1421329200).

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

672867120 is a wasteful number, since it uses less digits than its factorization.

672867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 672867120 is about 25939.6823419255. The cubic root of 672867120 is about 876.2804089696.

The spelling of 672867120 in words is "six hundred seventy-two million, eight hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 1028 1285 1542 2056 2570 3084 3855 4112 5140 6168 7710 10280 10909 12336 15420 20560 21818 30840 32727 43636 54545 61680 65454 87272 109090 130908 163635 174544 218180 261816 327270 436360 523632 654540 872720 1309080 2618160 2803613 5607226 8410839 11214452 14018065 16821678 22428904 28036130 33643356 42054195 44857808 56072260 67286712 84108390 112144520 134573424 168216780 224289040 336433560 672867120