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99072384 = 2731937367
BaseRepresentation
bin1011110011110…
…11100110000000
320220102101202120
411321323212000
5200330304014
613455244240
72312046525
oct571734600
9226371676
1099072384
1150a18604
1229219680
13176aa518
14d22d14c
158a6eba9
hex5e7b980

99072384 has 128 divisors (see below), whose sum is σ = 285273600. Its totient is φ = 30357504.

The previous prime is 99072371. The next prime is 99072401. The reversal of 99072384 is 48327099.

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

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, 269769 + ... + 270135.

It is an arithmetic number, because the mean of its divisors is an integer number (2228700).

Almost surely, 299072384 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 99072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142636800).

99072384 is an abundant number, since it is smaller than the sum of its proper divisors (186201216).

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

99072384 is a wasteful number, since it uses less digits than its factorization.

99072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 99072384 is about 9953.5111392915. The cubic root of 99072384 is about 462.7192185995.

The spelling of 99072384 in words is "ninety-nine million, seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 222 228 296 304 367 384 444 456 592 608 703 734 888 912 1101 1184 1216 1406 1468 1776 1824 2109 2202 2368 2432 2812 2936 3552 3648 4218 4404 4736 5624 5872 6973 7104 7296 8436 8808 11248 11744 13579 13946 14208 16872 17616 20919 22496 23488 27158 27892 33744 35232 40737 41838 44992 46976 54316 55784 67488 70464 81474 83676 89984 108632 111568 134976 140928 162948 167352 217264 223136 258001 269952 325896 334704 434528 446272 516002 651792 669408 774003 869056 892544 1032004 1303584 1338816 1548006 1738112 2064008 2607168 2677632 3096012 4128016 5214336 6192024 8256032 12384048 16512064 24768096 33024128 49536192 99072384