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99944320 = 275723187
BaseRepresentation
bin1011111010100…
…00011110000000
320222001200211111
411331100132000
5201041204240
613530053104
72322340600
oct575203600
9228050744
1099944320
1151463713
122957a194
1317924368
14d3b8c00
158b931ea
hex5f50780

99944320 has 96 divisors (see below), whose sum is σ = 278025480. Its totient is φ = 34255872.

The previous prime is 99944293. The next prime is 99944321. The reversal of 99944320 is 2344999.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99944321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29767 + ... + 32953.

Almost surely, 299944320 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 99944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139012740).

99944320 is an abundant number, since it is smaller than the sum of its proper divisors (178081160).

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

99944320 is a wasteful number, since it uses less digits than its factorization.

99944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 99944320 is about 9997.2156123593. The cubic root of 99944320 is about 464.0727194785.

The spelling of 99944320 in words is "ninety-nine million, nine hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3187 3920 4480 6272 6374 7840 12748 15680 15935 22309 25496 31360 31870 44618 50992 63740 89236 101984 111545 127480 156163 178472 203968 223090 254960 312326 356944 407936 446180 509920 624652 713888 780815 892360 1019840 1249304 1427776 1561630 1784720 2039680 2498608 2855552 3123260 3569440 4997216 6246520 7138880 9994432 12493040 14277760 19988864 24986080 49972160 99944320