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672399120 = 24353138951
BaseRepresentation
bin101000000100111…
…111111100010000
31201212020102012010
4220010333330100
52334113232440
6150415502520
722443204201
oct5004777420
91655212163
10672399120
11315608458
12169227a40
13a93c7403
14654315a8
153e06e580
hex2813ff10

672399120 has 80 divisors (see below), whose sum is σ = 2091330432. Its totient is φ = 178713600.

The previous prime is 672399109. The next prime is 672399137. The reversal of 672399120 is 21993276.

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

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, 70645 + ... + 79595.

Almost surely, 2672399120 is an apocalyptic number.

672399120 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 672399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045665216).

672399120 is an abundant number, since it is smaller than the sum of its proper divisors (1418931312).

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

672399120 is a wasteful number, since it uses less digits than its factorization.

672399120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 672399120 is about 25930.6598450560. The cubic root of 672399120 is about 876.0772017613.

The spelling of 672399120 in words is "six hundred seventy-two million, three hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 8951 9390 12520 15024 17902 18780 25040 26853 35804 37560 44755 53706 71608 75120 89510 107412 134265 143216 179020 214824 268530 358040 429648 537060 716080 1074120 2148240 2801663 5603326 8404989 11206652 14008315 16809978 22413304 28016630 33619956 42024945 44826608 56033260 67239912 84049890 112066520 134479824 168099780 224133040 336199560 672399120