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61434126 = 2341331941
BaseRepresentation
bin1110101001011…
…0100100001110
311021121011210000
43222112210032
5111211343001
610032425130
71344116145
oct352264416
9137534700
1061434126
1131750406
12186a81a6
13c95c970
14823275c
1555d7a86
hex3a9690e

61434126 has 80 divisors (see below), whose sum is σ = 153191808. Its totient is φ = 18273600.

The previous prime is 61434101. The next prime is 61434167. The reversal of 61434126 is 62143416.

61434126 is a `hidden beast` number, since 614 + 3 + 41 + 2 + 6 = 666.

61434126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61434126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64816 + ... + 65756.

Almost surely, 261434126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61434126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76595904).

61434126 is an abundant number, since it is smaller than the sum of its proper divisors (91757682).

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

61434126 is a wasteful number, since it uses less digits than its factorization.

61434126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 990 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61434126 is about 7837.9924725659. The cubic root of 61434126 is about 394.5813563795.

The spelling of 61434126 in words is "sixty-one million, four hundred thirty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 941 1053 1209 1674 1882 2106 2418 2511 2823 3627 5022 5646 7254 8469 10881 12233 16938 21762 24466 25407 29171 32643 36699 50814 58342 65286 73398 76221 87513 110097 152442 175026 220194 262539 330291 379223 525078 660582 758446 787617 990873 1137669 1575234 1981746 2275338 2362851 3413007 4725702 6826014 10239021 20478042 30717063 61434126