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10073376 = 253389131
BaseRepresentation
bin100110011011…
…010100100000
3200221210002000
4212123110200
510034322001
6555524000
7151423305
oct46332440
920853060
1010073376
115760305
123459600
1321190a1
1414a30ac
15d3ea86
hex99b520

10073376 has 96 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3294720.

The previous prime is 10073359. The next prime is 10073381. The reversal of 10073376 is 67337001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 76831 + ... + 76961.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 210073376 is an apocalyptic number.

10073376 is a gapful number since it is divisible by the number (16) 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 10073376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

10073376 is an abundant number, since it is smaller than the sum of its proper divisors (19864224).

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

10073376 is a wasteful number, since it uses less digits than its factorization.

10073376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 10073376 is about 3173.8582198958. The cubic root of 10073376 is about 215.9691313912.

The spelling of 10073376 in words is "ten million, seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 131 144 178 216 262 267 288 356 393 432 524 534 712 786 801 864 1048 1068 1179 1424 1572 1602 2096 2136 2358 2403 2848 3144 3204 3537 4192 4272 4716 4806 6288 6408 7074 8544 9432 9612 11659 12576 12816 14148 18864 19224 23318 25632 28296 34977 37728 38448 46636 56592 69954 76896 93272 104931 113184 139908 186544 209862 279816 314793 373088 419724 559632 629586 839448 1119264 1259172 1678896 2518344 3357792 5036688 10073376