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99384960 = 2735371399
BaseRepresentation
bin1011110110001…
…11111010000000
320221000021112110
411323013322000
5200420304320
613510055320
72314521033
oct573077200
9227007473
1099384960
1151111434
122934a540
131778988c
14d2b101a
158ad25e0
hex5ec7e80

99384960 has 128 divisors (see below), whose sum is σ = 325584000. Its totient is φ = 25767936.

The previous prime is 99384959. The next prime is 99384979. The reversal of 99384960 is 6948399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 70341 + ... + 71739.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625).

Almost surely, 299384960 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 99384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162792000).

99384960 is an abundant number, since it is smaller than the sum of its proper divisors (226199040).

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

99384960 is a wasteful number, since it uses less digits than its factorization.

99384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 99384960 is about 9969.2005697548. The cubic root of 99384960 is about 463.2053381877.

The spelling of 99384960 in words is "ninety-nine million, three hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 888 960 1110 1184 1399 1480 1776 1920 2220 2368 2798 2960 3552 4197 4440 4736 5596 5920 6995 7104 8394 8880 11192 11840 13990 14208 16788 17760 20985 22384 23680 27980 33576 35520 41970 44768 51763 55960 67152 71040 83940 89536 103526 111920 134304 155289 167880 179072 207052 223840 258815 268608 310578 335760 414104 447680 517630 537216 621156 671520 776445 828208 895360 1035260 1242312 1343040 1552890 1656416 2070520 2484624 2686080 3105780 3312832 4141040 4969248 6211560 6625664 8282080 9938496 12423120 16564160 19876992 24846240 33128320 49692480 99384960