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96836616 = 23321971997
BaseRepresentation
bin1011100010110…
…01110000001000
320202012210212100
411301121300020
5144242232431
613335313400
72254045332
oct561316010
9222183770
1096836616
114a730868
122851b860
13170a6996
14cc0a452
15877c4e6
hex5c59c08

96836616 has 96 divisors (see below), whose sum is σ = 280238400. Its totient is φ = 30119040.

The previous prime is 96836599. The next prime is 96836627. The reversal of 96836616 is 61663869.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96630 + ... + 97626.

It is an arithmetic number, because the mean of its divisors is an integer number (2919150).

Almost surely, 296836616 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 96836616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140119200).

96836616 is an abundant number, since it is smaller than the sum of its proper divisors (183401784).

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

96836616 is a wasteful number, since it uses less digits than its factorization.

96836616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 96836616 is about 9840.5597401774. The cubic root of 96836616 is about 459.2119715260.

The spelling of 96836616 in words is "ninety-six million, eight hundred thirty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 71 72 76 114 142 152 171 213 228 284 342 426 456 568 639 684 852 997 1278 1349 1368 1704 1994 2556 2698 2991 3988 4047 5112 5396 5982 7976 8094 8973 10792 11964 12141 16188 17946 18943 23928 24282 32376 35892 37886 48564 56829 70787 71784 75772 97128 113658 141574 151544 170487 212361 227316 283148 340974 424722 454632 566296 637083 681948 849444 1274166 1344953 1363896 1698888 2548332 2689906 4034859 5096664 5379812 8069718 10759624 12104577 16139436 24209154 32278872 48418308 96836616