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10021320 = 233551031
BaseRepresentation
bin100110001110…
…100111001000
3200212010200000
4212032213020
510031140240
6554443000
7151115451
oct46164710
920763600
1010021320
115725191
123433460
1320cb49a
14148c128
15d2e430
hex98e9c8

10021320 has 96 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 2669760.

The previous prime is 10021301. The next prime is 10021331. The reversal of 10021320 is 2312001.

10021320 = T460 + T461 + ... + T539.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

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 23 ways as a sum of consecutive naturals, for example, 9205 + ... + 10235.

It is an arithmetic number, because the mean of its divisors is an integer number (352170).

Almost surely, 210021320 is an apocalyptic number.

10021320 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 10021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

10021320 is an abundant number, since it is smaller than the sum of its proper divisors (23787000).

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

10021320 is a wasteful number, since it uses less digits than its factorization.

10021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10021320 is about 3165.6468533303. The cubic root of 10021320 is about 215.5964688148.

Adding to 10021320 its reverse (2312001), we get a palindrome (12333321).

The spelling of 10021320 in words is "ten million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1031 1080 1215 1620 1944 2062 2430 3093 3240 4124 4860 5155 6186 8248 9279 9720 10310 12372 15465 18558 20620 24744 27837 30930 37116 41240 46395 55674 61860 74232 83511 92790 111348 123720 139185 167022 185580 222696 250533 278370 334044 371160 417555 501066 556740 668088 835110 1002132 1113480 1252665 1670220 2004264 2505330 3340440 5010660 10021320