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99693120 = 2635113919
BaseRepresentation
bin1011111000100…
…11001001000000
320221120221020210
411330103021000
5201010134440
613520434120
72320243332
oct574231100
9227527223
1099693120
1151301a0a
1229478940
1317866c17
14d351452
158b43a80
hex5f13240

99693120 has 112 divisors (see below), whose sum is σ = 319674240. Its totient is φ = 26320896.

The previous prime is 99693029. The next prime is 99693149. The reversal of 99693120 is 2139699.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 108021 + ... + 108939.

Almost surely, 299693120 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 99693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159837120).

99693120 is an abundant number, since it is smaller than the sum of its proper divisors (219981120).

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

99693120 is a wasteful number, since it uses less digits than its factorization.

99693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 99693120 is about 9984.6442099857. The cubic root of 99693120 is about 463.6835932454.

The spelling of 99693120 in words is "ninety-nine million, six hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 160 192 226 240 320 339 452 480 565 678 904 919 960 1130 1356 1695 1808 1838 2260 2712 2757 3390 3616 3676 4520 4595 5424 5514 6780 7232 7352 9040 9190 10848 11028 13560 13785 14704 18080 18380 21696 22056 27120 27570 29408 36160 36760 44112 54240 55140 58816 73520 88224 103847 108480 110280 147040 176448 207694 220560 294080 311541 415388 441120 519235 623082 830776 882240 1038470 1246164 1557705 1661552 2076940 2492328 3115410 3323104 4153880 4984656 6230820 6646208 8307760 9969312 12461640 16615520 19938624 24923280 33231040 49846560 99693120