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87734016 = 28344231
BaseRepresentation
bin1010011101010…
…11011100000000
320010002100110000
411032223130000
5134424442031
612412240000
72113504206
oct516533400
9203070400
1087734016
1145583957
1225470000
131523a726
14b91b076
157a803e6
hex53ab700

87734016 has 90 divisors (see below), whose sum is σ = 261668792. Its totient is φ = 29237760.

The previous prime is 87733969. The next prime is 87734041. The reversal of 87734016 is 61043778.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18621 + ... + 22851.

Almost surely, 287734016 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 87734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130834396).

87734016 is an abundant number, since it is smaller than the sum of its proper divisors (173934776).

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

87734016 is an equidigital number, since it uses as much as digits as its factorization.

87734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87734016 is about 9366.6437959389. The cubic root of 87734016 is about 444.3474271200.

The spelling of 87734016 in words is "eighty-seven million, seven hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4231 5184 6912 8462 10368 12693 16924 20736 25386 33848 38079 50772 67696 76158 101544 114237 135392 152316 203088 228474 270784 304632 342711 406176 456948 541568 609264 685422 812352 913896 1083136 1218528 1370844 1624704 1827792 2437056 2741688 3249408 3655584 4874112 5483376 7311168 9748224 10966752 14622336 21933504 29244672 43867008 87734016