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87073974 = 23313711747
BaseRepresentation
bin1010011000010…
…10010010110110
320001211211001000
411030022102312
5134242331344
612350144130
72105054661
oct514122266
9201754030
1087073974
1145172a69
12251b2046
1315069180
14b7c86d8
15799ea69
hex530a4b6

87073974 has 64 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 26399520.

The previous prime is 87073963. The next prime is 87073991. The reversal of 87073974 is 47937078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48969 + ... + 50715.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 287073974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87073974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

87073974 is an abundant number, since it is smaller than the sum of its proper divisors (124364106).

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

87073974 is a wasteful number, since it uses less digits than its factorization.

87073974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 87073974 is about 9331.3436331538. The cubic root of 87073974 is about 443.2303136862.

The spelling of 87073974 in words is "eighty-seven million, seventy-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 117 142 213 234 351 426 639 702 923 1278 1747 1846 1917 2769 3494 3834 5241 5538 8307 10482 15723 16614 22711 24921 31446 45422 47169 49842 68133 94338 124037 136266 204399 248074 372111 408798 613197 744222 1116333 1226394 1612481 2232666 3224962 3348999 4837443 6697998 9674886 14512329 29024658 43536987 87073974