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12380796 = 2233295967
BaseRepresentation
bin101111001110…
…101001111100
3212022000021000
4233032221330
511132141141
61121210300
7210143421
oct57165174
925260230
1012380796
116a9696a
124190990
13274641c
141903d48
1511485b6
hexbcea7c

12380796 has 96 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3858624.

The previous prime is 12380791. The next prime is 12380803. The reversal of 12380796 is 69708321.

It is a super-3 number, since 3×123807963 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12380796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12380791) 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, 184755 + ... + 184821.

It is an arithmetic number, because the mean of its divisors is an integer number (357000).

Almost surely, 212380796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12380796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

12380796 is an abundant number, since it is smaller than the sum of its proper divisors (21891204).

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

12380796 is a wasteful number, since it uses less digits than its factorization.

12380796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12380796 is about 3518.6355309978. The cubic root of 12380796 is about 231.3393561667.

The spelling of 12380796 in words is "twelve million, three hundred eighty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 59 67 87 108 116 118 134 174 177 201 236 261 268 348 354 402 522 531 603 708 783 804 1044 1062 1206 1566 1593 1711 1809 1943 2124 2412 3132 3186 3422 3618 3886 3953 5133 5829 6372 6844 7236 7772 7906 10266 11658 11859 15399 15812 17487 20532 23316 23718 30798 34974 35577 46197 47436 52461 61596 69948 71154 92394 104922 106731 114637 142308 184788 209844 213462 229274 343911 426924 458548 687822 1031733 1375644 2063466 3095199 4126932 6190398 12380796