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12542634 = 23313171051
BaseRepresentation
bin101111110110…
…001010101010
3212121020021000
4233312022222
511202331014
61124455430
7211416306
oct57661252
925536230
1012542634
117097515
12424a576
1327a1ca0
141946d06
15117b509
hexbf62aa

12542634 has 64 divisors (see below), whose sum is σ = 31812480. Its totient is φ = 3628800.

The previous prime is 12542611. The next prime is 12542639. The reversal of 12542634 is 43624521.

12542634 is a `hidden beast` number, since 1 + 25 + 4 + 2 + 634 = 666.

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 = 12542598 and 12542607.

It is not an unprimeable number, because it can be changed into a prime (12542639) 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, 11409 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (497070).

Almost surely, 212542634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12542634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906240).

12542634 is an abundant number, since it is smaller than the sum of its proper divisors (19269846).

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

12542634 is a wasteful number, since it uses less digits than its factorization.

12542634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 12542634 is about 3541.5581316703. The cubic root of 12542634 is about 232.3429949363.

The spelling of 12542634 in words is "twelve million, five hundred forty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1051 1326 1989 2102 3153 3978 5967 6306 9459 11934 13663 17867 18918 27326 28377 35734 40989 53601 56754 81978 107202 122967 160803 232271 245934 321606 368901 464542 482409 696813 737802 964818 1393626 2090439 4180878 6271317 12542634