Search a number
-
+
12913488 = 2432723557
BaseRepresentation
bin110001010000…
…101101010000
3220022001222100
4301100231100
511301212423
61140440400
7214522440
oct61205520
926261870
1012913488
117320105
1243a9100
1328a1a23
141a02120
151201343
hexc50b50

12913488 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3522816.

The previous prime is 12913471. The next prime is 12913501. The reversal of 12913488 is 88431921.

It is a super-2 number, since 2×129134882 = 333516344652288, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 22906 + ... + 23462.

Almost surely, 212913488 is an apocalyptic number.

12913488 is a gapful number since it is divisible by the number (18) 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 12913488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

12913488 is an abundant number, since it is smaller than the sum of its proper divisors (30262320).

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

12913488 is a wasteful number, since it uses less digits than its factorization.

12913488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 12913488 is about 3593.5341935204. The cubic root of 12913488 is about 234.6107211388.

The spelling of 12913488 in words is "twelve million, nine hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 557 644 828 966 1008 1104 1114 1288 1449 1656 1671 1932 2228 2576 2898 3312 3342 3864 3899 4456 5013 5796 6684 7728 7798 8912 10026 11592 11697 12811 13368 15596 20052 23184 23394 25622 26736 31192 35091 38433 40104 46788 51244 62384 70182 76866 80208 89677 93576 102488 115299 140364 153732 179354 187152 204976 230598 269031 280728 307464 358708 461196 538062 561456 614928 717416 807093 922392 1076124 1434832 1614186 1844784 2152248 3228372 4304496 6456744 12913488