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99360880 = 24519131499
BaseRepresentation
bin1011110110000…
…10000001110000
320220222001111121
411323002001300
5200414022010
613505352024
72314360603
oct573020160
9226861447
1099360880
11510a5333
1229338614
131777b928
14d2a633a
158aca3da
hex5ec2070

99360880 has 80 divisors (see below), whose sum is σ = 245520000. Its totient is φ = 37290240.

The previous prime is 99360847. The next prime is 99360881. The reversal of 99360880 is 8806399.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99360881) by changing a digit.

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, 198871 + ... + 199369.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 299360880 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 99360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760000).

99360880 is an abundant number, since it is smaller than the sum of its proper divisors (146159120).

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

99360880 is a wasteful number, since it uses less digits than its factorization.

99360880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 99360880 is about 9967.9927768834. The cubic root of 99360880 is about 463.1679251308.

The spelling of 99360880 in words is "ninety-nine million, three hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 131 152 190 262 304 380 499 524 655 760 998 1048 1310 1520 1996 2096 2489 2495 2620 3992 4978 4990 5240 7984 9481 9956 9980 10480 12445 18962 19912 19960 24890 37924 39824 39920 47405 49780 65369 75848 94810 99560 130738 151696 189620 199120 261476 326845 379240 522952 653690 758480 1045904 1242011 1307380 2484022 2614760 4968044 5229520 6210055 9936088 12420110 19872176 24840220 49680440 99360880