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10012320 = 2532517409
BaseRepresentation
bin100110001100…
…011010100000
3200211200022200
4212030122200
510030343240
6554333200
7151050303
oct46143240
920750280
1010012320
11571944a
12342a200
1320c7366
141488b3a
15d2b930
hex98c6a0

10012320 has 144 divisors (see below), whose sum is σ = 36265320. Its totient is φ = 2506752.

The previous prime is 10012313. The next prime is 10012333. The reversal of 10012320 is 2321001.

Adding to 10012320 its reverse (2321001), we get a palindrome (12333321).

It can be divided in two parts, 1001 and 2320, that added together give a triangular number (3321 = T81).

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 51984 = 3156^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24276 + ... + 24684.

Almost surely, 210012320 is an apocalyptic number.

10012320 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 10012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132660).

10012320 is an abundant number, since it is smaller than the sum of its proper divisors (26253000).

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

10012320 is a wasteful number, since it uses less digits than its factorization.

10012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

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

The square root of 10012320 is about 3164.2250236037. The cubic root of 10012320 is about 215.5319081454.

The spelling of 10012320 in words is "ten million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 409 480 510 544 612 680 720 765 816 818 1020 1224 1227 1360 1440 1530 1632 1636 2040 2045 2448 2454 2720 3060 3272 3681 4080 4090 4896 4908 6120 6135 6544 6953 7362 8160 8180 9816 12240 12270 13088 13906 14724 16360 18405 19632 20859 24480 24540 27812 29448 32720 34765 36810 39264 41718 49080 55624 58896 62577 65440 69530 73620 83436 98160 104295 111248 117792 125154 139060 147240 166872 196320 208590 222496 250308 278120 294480 312885 333744 417180 500616 556240 588960 625770 667488 834360 1001232 1112480 1251540 1668720 2002464 2503080 3337440 5006160 10012320