Search a number
-
+
12900360 = 23351129337
BaseRepresentation
bin110001001101…
…100000001000
3220021101222010
4301031200020
511300302420
61140255520
7214436244
oct61154010
926241863
1012900360
117311260
1243a15a0
132898a65
1419db424
1511ec4e0
hexc4d808

12900360 has 128 divisors (see below), whose sum is σ = 43804800. Its totient is φ = 3010560.

The previous prime is 12900347. The next prime is 12900361. The reversal of 12900360 is 6300921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12900361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38112 + ... + 38448.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 212900360 is an apocalyptic number.

12900360 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 12900360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

12900360 is an abundant number, since it is smaller than the sum of its proper divisors (30904440).

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

12900360 is a wasteful number, since it uses less digits than its factorization.

12900360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12900360 is about 3591.7071150081. The cubic root of 12900360 is about 234.5311915326.

The spelling of 12900360 in words is "twelve million, nine hundred thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 337 348 435 440 580 638 660 674 696 870 957 1011 1160 1276 1320 1348 1595 1685 1740 1914 2022 2552 2696 3190 3370 3480 3707 3828 4044 4785 5055 6380 6740 7414 7656 8088 9570 9773 10110 11121 12760 13480 14828 18535 19140 19546 20220 22242 29319 29656 37070 38280 39092 40440 44484 48865 55605 58638 74140 78184 88968 97730 107503 111210 117276 146595 148280 195460 215006 222420 234552 293190 322509 390920 430012 444840 537515 586380 645018 860024 1075030 1172760 1290036 1612545 2150060 2580072 3225090 4300120 6450180 12900360