Search a number
-
+
125421516 = 223211367863
BaseRepresentation
bin1110111100111…
…00011111001100
322202000001222100
413132130133030
5224101442031
620240115100
73052031253
oct736343714
9282001870
10125421516
1164885050
1236005a90
131cca481c
141292b79a
15b026de6
hex779c7cc

125421516 has 72 divisors (see below), whose sum is σ = 347203584. Its totient is φ = 37859040.

The previous prime is 125421511. The next prime is 125421523. The reversal of 125421516 is 615124521.

125421516 is a `hidden beast` number, since 125 + 4 + 21 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125421516.

It is not an unprimeable number, because it can be changed into a prime (125421511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144901 + ... + 145763.

It is an arithmetic number, because the mean of its divisors is an integer number (4822272).

Almost surely, 2125421516 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 125421516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601792).

125421516 is an abundant number, since it is smaller than the sum of its proper divisors (221782068).

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

125421516 is a wasteful number, since it uses less digits than its factorization.

125421516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1246 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125421516 is about 11199.1747910281. The cubic root of 125421516 is about 500.5613907782.

The spelling of 125421516 in words is "one hundred twenty-five million, four hundred twenty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 367 396 734 863 1101 1468 1726 2202 2589 3303 3452 4037 4404 5178 6606 7767 8074 9493 10356 12111 13212 15534 16148 18986 24222 28479 31068 36333 37972 48444 56958 72666 85437 113916 145332 170874 316721 341748 633442 950163 1266884 1900326 2850489 3483931 3800652 5700978 6967862 10451793 11401956 13935724 20903586 31355379 41807172 62710758 125421516