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10872320 = 29531137
BaseRepresentation
bin101001011110…
…011000000000
3202110101000112
4221132120000
510240403240
61025010452
7161261504
oct51363000
922411015
1010872320
116156598
123783a28
132338934
141630304
15e4b665
hexa5e600

10872320 has 80 divisors (see below), whose sum is σ = 27105408. Its totient is φ = 4177920.

The previous prime is 10872317. The next prime is 10872331. The reversal of 10872320 is 2327801.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79292 + ... + 79428.

Almost surely, 210872320 is an apocalyptic number.

10872320 is a gapful number since it is divisible by the number (10) 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 10872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552704).

10872320 is an abundant number, since it is smaller than the sum of its proper divisors (16233088).

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

10872320 is an equidigital number, since it uses as much as digits as its factorization.

10872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10872320 is about 3297.3201239795. The cubic root of 10872320 is about 221.5341800375.

The spelling of 10872320 in words is "ten million, eight hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 137 155 160 248 256 274 310 320 496 512 548 620 640 685 992 1096 1240 1280 1370 1984 2192 2480 2560 2740 3968 4247 4384 4960 5480 7936 8494 8768 9920 10960 15872 16988 17536 19840 21235 21920 33976 35072 39680 42470 43840 67952 70144 79360 84940 87680 135904 169880 175360 271808 339760 350720 543616 679520 1087232 1359040 2174464 2718080 5436160 10872320