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99812480 = 275831879
BaseRepresentation
bin1011111001100…
…00010010000000
320221210222222112
411330300102000
5201022444410
613523154452
72321251325
oct574602200
9227728875
1099812480
1151383659
1229515a28
13178a9351
14d382b4c
158b69105
hex5f30480

99812480 has 64 divisors (see below), whose sum is σ = 241617600. Its totient is φ = 39422976.

The previous prime is 99812477. The next prime is 99812497. The reversal of 99812480 is 8421899.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52181 + ... + 54059.

It is an arithmetic number, because the mean of its divisors is an integer number (3775275).

Almost surely, 299812480 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 99812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120808800).

99812480 is an abundant number, since it is smaller than the sum of its proper divisors (141805120).

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

99812480 is a wasteful number, since it uses less digits than its factorization.

99812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 99812480 is about 9990.6196004052. The cubic root of 99812480 is about 463.8685715753.

The spelling of 99812480 in words is "ninety-nine million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1328 1660 1879 2656 3320 3758 5312 6640 7516 9395 10624 13280 15032 18790 26560 30064 37580 53120 60128 75160 120256 150320 155957 240512 300640 311914 601280 623828 779785 1202560 1247656 1559570 2495312 3119140 4990624 6238280 9981248 12476560 19962496 24953120 49906240 99812480