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125421534 = 236712289
BaseRepresentation
bin1110111100111…
…00011111011110
322202000002000000
413132130133132
5224101442114
620240115130
73052031310
oct736343736
9282002000
10125421534
1164885067
1236005aa6
131cca4834
141292b7b0
15b026e09
hex779c7de

125421534 has 56 divisors (see below), whose sum is σ = 322391280. Its totient is φ = 35831808.

The previous prime is 125421533. The next prime is 125421589. The reversal of 125421534 is 435124521.

125421534 is a `hidden beast` number, since 125 + 4 + 2 + 1 + 534 = 666.

It is a super-2 number, since 2×1254215342 = 31461122381826312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125421498 and 125421507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125421533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4062 + ... + 16350.

Almost surely, 2125421534 is an apocalyptic number.

125421534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125421534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161195640).

125421534 is an abundant number, since it is smaller than the sum of its proper divisors (196969746).

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

125421534 is an equidigital number, since it uses as much as digits as its factorization.

125421534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12301 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 125421534 is about 11199.1755946587. The cubic root of 125421534 is about 500.5614147244.

The spelling of 125421534 in words is "one hundred twenty-five million, four hundred twenty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 10206 12289 24578 36867 73734 86023 110601 172046 221202 258069 331803 516138 663606 774207 995409 1548414 1990818 2322621 2986227 4645242 5972454 6967863 8958681 13935726 17917362 20903589 41807178 62710767 125421534