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99080320 = 2752353127
BaseRepresentation
bin1011110011111…
…01100010000000
320220102210122111
411321331202000
5200331032240
613455345104
72312111623
oct571754200
9226383574
1099080320
1150a23569
1229222194
13176b1011
14d231dba
158a721ea
hex5e7d880

99080320 has 128 divisors (see below), whose sum is σ = 253808640. Its totient is φ = 36900864.

The previous prime is 99080291. The next prime is 99080323. The reversal of 99080320 is 2308099.

It is a happy number.

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

It is a super-2 number, since 2×990803202 = 19633819622604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99080323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780097 + ... + 780223.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880).

Almost surely, 299080320 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 99080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

99080320 is an abundant number, since it is smaller than the sum of its proper divisors (154728320).

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

99080320 is a wasteful number, since it uses less digits than its factorization.

99080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 99080320 is about 9953.9097846022. The cubic root of 99080320 is about 462.7315733430.

The spelling of 99080320 in words is "ninety-nine million, eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 92 106 115 127 128 160 184 212 230 254 265 320 368 424 460 508 530 635 640 736 848 920 1016 1060 1219 1270 1472 1696 1840 2032 2120 2438 2540 2921 2944 3392 3680 4064 4240 4876 5080 5842 6095 6731 6784 7360 8128 8480 9752 10160 11684 12190 13462 14605 14720 16256 16960 19504 20320 23368 24380 26924 29210 33655 33920 39008 40640 46736 48760 53848 58420 67310 78016 81280 93472 97520 107696 116840 134620 154813 156032 186944 195040 215392 233680 269240 309626 373888 390080 430784 467360 538480 619252 774065 780160 861568 934720 1076960 1238504 1548130 1869440 2153920 2477008 3096260 4307840 4954016 6192520 9908032 12385040 19816064 24770080 49540160 99080320