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99804640 = 2551323691
BaseRepresentation
bin1011111001011…
…10010111100000
320221210121020011
411330232113200
5201022222030
613523054304
72321216425
oct574562740
9227717204
1099804640
1151378781
1229511394
13178a5900
14d37dd4c
158b66b2a
hex5f2e5e0

99804640 has 72 divisors (see below), whose sum is σ = 255390408. Its totient is φ = 36840960.

The previous prime is 99804611. The next prime is 99804673. The reversal of 99804640 is 4640899.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 99804593 and 99804602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25195 + ... + 28885.

It is an arithmetic number, because the mean of its divisors is an integer number (3547089).

Almost surely, 299804640 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 99804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127695204).

99804640 is an abundant number, since it is smaller than the sum of its proper divisors (155585768).

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

99804640 is a wasteful number, since it uses less digits than its factorization.

99804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 99804640 is about 9990.2272246431. The cubic root of 99804640 is about 463.8564260506.

The spelling of 99804640 in words is "ninety-nine million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 3691 5408 6760 7382 13520 14764 18455 27040 29528 36910 47983 59056 73820 95966 118112 147640 191932 239915 295280 383864 479830 590560 623779 767728 959660 1247558 1535456 1919320 2495116 3118895 3838640 4990232 6237790 7677280 9980464 12475580 19960928 24951160 49902320 99804640