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61214274 = 23211319973
BaseRepresentation
bin1110100110000…
…0111001000010
311021012000012100
43221200321002
5111132324044
610024011230
71342212162
oct351407102
9137160170
1061214274
1131610210
1218600b16
13c8b3884
1481b65a2
155592869
hex3a60e42

61214274 has 48 divisors (see below), whose sum is σ = 149370624. Its totient is φ = 17949600.

The previous prime is 61214269. The next prime is 61214281. The reversal of 61214274 is 47241216.

61214274 is a `hidden beast` number, since 612 + 1 + 42 + 7 + 4 = 666.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 1152 + ... + 11124.

It is an arithmetic number, because the mean of its divisors is an integer number (3111888).

Almost surely, 261214274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61214274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74685312).

61214274 is an abundant number, since it is smaller than the sum of its proper divisors (88156350).

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

61214274 is a wasteful number, since it uses less digits than its factorization.

61214274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10020 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 61214274 is about 7823.9551379082. The cubic root of 61214274 is about 394.1101026175.

It can be divided in two parts, 612142 and 74, that added together give a palindrome (612216).

The spelling of 61214274 in words is "sixty-one million, two hundred fourteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 9973 19946 29919 59838 89757 109703 179514 219406 309163 329109 618326 658218 927489 987327 1854978 1974654 2782467 3400793 5564934 6801586 10202379 20404758 30607137 61214274