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61107816 = 23371143769
BaseRepresentation
bin1110100100011…
…0111001101000
311020222121011110
43221012321220
5111120422231
610021430320
71341256620
oct351067150
9136877143
1061107816
1131548230
121856b3a0
13c877293
148189880
155571046
hex3a46e68

61107816 has 128 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 15482880.

The previous prime is 61107811. The next prime is 61107817. The reversal of 61107816 is 61870116.

It is a happy number.

61107816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61107811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79080 + ... + 79848.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 261107816 is an apocalyptic number.

61107816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61107816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

61107816 is an abundant number, since it is smaller than the sum of its proper divisors (134040984).

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

61107816 is a wasteful number, since it uses less digits than its factorization.

61107816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 61107816 is about 7817.1488408498. The cubic root of 61107816 is about 393.8815038711.

The spelling of 61107816 in words is "sixty-one million, one hundred seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 258 264 301 308 344 462 473 516 602 616 769 903 924 946 1032 1204 1419 1538 1806 1848 1892 2307 2408 2838 3076 3311 3612 3784 4614 5383 5676 6152 6622 7224 8459 9228 9933 10766 11352 13244 16149 16918 18456 19866 21532 25377 26488 32298 33067 33836 39732 43064 50754 59213 64596 66134 67672 79464 99201 101508 118426 129192 132268 177639 198402 203016 231469 236852 264536 355278 363737 396804 462938 473704 694407 710556 727474 793608 925876 1091211 1388814 1421112 1454948 1851752 2182422 2546159 2777628 2909896 4364844 5092318 5555256 7638477 8729688 10184636 15276954 20369272 30553908 61107816