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81146676 = 223134312097
BaseRepresentation
bin1001101011000…
…11001100110100
312122200200022110
410311203030310
5131233143201
612015131020
72003510142
oct465431464
9178620273
1081146676
1141894776
1223213a70
1313a722b0
14aac4592
1571cd6d6
hex4d63334

81146676 has 48 divisors (see below), whose sum is σ = 208666304. Its totient is φ = 24385536.

The previous prime is 81146647. The next prime is 81146683. The reversal of 81146676 is 67664118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 660 + ... + 12756.

Almost surely, 281146676 is an apocalyptic number.

81146676 is a gapful number since it is divisible by the number (86) 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 81146676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104333152).

81146676 is an abundant number, since it is smaller than the sum of its proper divisors (127519628).

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

81146676 is a wasteful number, since it uses less digits than its factorization.

81146676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12160 (or 12158 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 81146676 is about 9008.1449810713. The cubic root of 81146676 is about 432.9358782992.

The spelling of 81146676 in words is "eighty-one million, one hundred forty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 12097 24194 36291 48388 72582 145164 157261 314522 471783 520171 629044 943566 1040342 1560513 1887132 2080684 3121026 6242052 6762223 13524446 20286669 27048892 40573338 81146676