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12913950 = 235273251
BaseRepresentation
bin110001010000…
…110100011110
3220022002121110
4301100310132
511301221300
61140442450
7214524000
oct61206436
926262543
1012913950
117320495
1243a9426
1328a1cba
141a02370
151201550
hexc50d1e

12913950 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2940000.

The previous prime is 12913933. The next prime is 12913969. The reversal of 12913950 is 5931921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 51325 + ... + 51575.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 212913950 is an apocalyptic number.

12913950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12913950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12913950 is an abundant number, since it is smaller than the sum of its proper divisors (24583650).

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

12913950 is a wasteful number, since it uses less digits than its factorization.

12913950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 12913950 is about 3593.5984750665. The cubic root of 12913950 is about 234.6135189592.

The spelling of 12913950 in words is "twelve million, nine hundred thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 251 294 343 350 490 502 525 686 735 753 1029 1050 1225 1255 1470 1506 1715 1757 2058 2450 2510 3430 3514 3675 3765 5145 5271 6275 7350 7530 8575 8785 10290 10542 12299 12550 17150 17570 18825 24598 25725 26355 36897 37650 43925 51450 52710 61495 73794 86093 87850 122990 131775 172186 184485 258279 263550 307475 368970 430465 516558 614950 860930 922425 1291395 1844850 2152325 2582790 4304650 6456975 12913950