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96401016 = 2335172917
BaseRepresentation
bin1011011111011…
…11011001111000
320201101200100000
411233233121320
5144134313031
613322113000
72250252345
oct557573170
9221350300
1096401016
114a463568
122834b760
1316c8362a
14cb357cc
1586e33e6
hex5bef678

96401016 has 96 divisors (see below), whose sum is σ = 286781040. Its totient is φ = 30233088.

The previous prime is 96400939. The next prime is 96401023. The reversal of 96401016 is 61010469.

96401016 is a `hidden beast` number, since 9 + 640 + 1 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31590 + ... + 34506.

Almost surely, 296401016 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 96401016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143390520).

96401016 is an abundant number, since it is smaller than the sum of its proper divisors (190380024).

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

96401016 is a wasteful number, since it uses less digits than its factorization.

96401016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 96401016 is about 9818.4019066241. The cubic root of 96401016 is about 458.5223789919.

The spelling of 96401016 in words is "ninety-six million, four hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 2917 3672 4131 5508 5834 8262 8751 11016 11668 16524 17502 23336 26253 33048 35004 49589 52506 70008 78759 99178 105012 148767 157518 198356 210024 236277 297534 315036 396712 446301 472554 595068 630072 708831 892602 945108 1190136 1338903 1417662 1785204 1890216 2677806 2835324 3570408 4016709 5355612 5670648 8033418 10711224 12050127 16066836 24100254 32133672 48200508 96401016