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81374132 = 22731241389
BaseRepresentation
bin1001101100110…
…10101110110100
312200010020022202
410312122232310
5131312433012
612024044032
72005445240
oct466325664
9180106282
1081374132
1141a2a654
1223303618
1313b21998
14ab43420
157225cc2
hex4d9abb4

81374132 has 48 divisors (see below), whose sum is σ = 169128960. Its totient is φ = 33523200.

The previous prime is 81374129. The next prime is 81374147. The reversal of 81374132 is 23147318.

Its product of digits (4032) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 81374095 and 81374104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208994 + ... + 209382.

It is an arithmetic number, because the mean of its divisors is an integer number (3523520).

Almost surely, 281374132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81374132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84564480).

81374132 is an abundant number, since it is smaller than the sum of its proper divisors (87754828).

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

81374132 is a wasteful number, since it uses less digits than its factorization.

81374132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 81374132 is about 9020.7611652233. The cubic root of 81374132 is about 433.3400106795.

The spelling of 81374132 in words is "eighty-one million, three hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 241 389 434 482 778 868 964 1556 1687 2723 3374 5446 6748 7471 10892 12059 14942 24118 29884 48236 52297 84413 93749 104594 168826 187498 209188 337652 374996 656243 1312486 2624972 2906219 5812438 11624876 20343533 40687066 81374132