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99996960 = 2535729761
BaseRepresentation
bin1011111010111…
…01010100100000
320222011101001010
411331131110200
5201044400320
613531140520
72322650220
oct575352440
9228141033
1099996960
115149a218
12295a4740
13179422cb
14d3d0080
158ba3ae0
hex5f5d520

99996960 has 96 divisors (see below), whose sum is σ = 360001152. Its totient is φ = 22855680.

The previous prime is 99996947. The next prime is 99996971. The reversal of 99996960 is 6969999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 99996960.

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, 11521 + ... + 18240.

It is an arithmetic number, because the mean of its divisors is an integer number (3750012).

Almost surely, 299996960 is an apocalyptic number.

It is an amenable number.

99996960 is an abundant number, since it is smaller than the sum of its proper divisors (260004192).

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

99996960 is a wasteful number, since it uses less digits than its factorization.

99996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29786 (or 29778 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 57.

The square root of 99996960 is about 9999.8479988448. The cubic root of 99996960 is about 464.1541798369.

The spelling of 99996960 in words is "ninety-nine million, nine hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 29761 59522 89283 119044 148805 178566 208327 238088 297610 357132 416654 446415 476176 595220 624981 714264 833308 892830 952352 1041635 1190440 1249962 1428528 1666616 1785660 2083270 2380880 2499924 2857056 3124905 3333232 3571320 4166540 4761760 4999848 6249810 6666464 7142640 8333080 9999696 12499620 14285280 16666160 19999392 24999240 33332320 49998480 99996960