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99401760 = 2532569029
BaseRepresentation
bin1011110110011…
…00000000100000
320221001010120200
411323030000200
5200421324020
613510305200
72314621023
oct573140040
9227033520
1099401760
1151123017
1229358200
1317794413
14d2b71ba
158ad7590
hex5ecc020

99401760 has 72 divisors (see below), whose sum is σ = 339213420. Its totient is φ = 26506752.

The previous prime is 99401759. The next prime is 99401777. The reversal of 99401760 is 6710499.

It can be written as a sum of positive squares in 2 ways, for example, as 96118416 + 3283344 = 9804^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33075 + ... + 35954.

Almost surely, 299401760 is an apocalyptic number.

99401760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99401760 is an abundant number, since it is smaller than the sum of its proper divisors (239811660).

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

99401760 is a wasteful number, since it uses less digits than its factorization.

99401760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69050 (or 69039 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99401760 is about 9970.0431292949. The cubic root of 99401760 is about 463.2314367417.

The spelling of 99401760 in words is "ninety-nine million, four hundred one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 69029 138058 207087 276116 345145 414174 552232 621261 690290 828348 1035435 1104464 1242522 1380580 1656696 2070870 2208928 2485044 2761160 3106305 3313392 4141740 4970088 5522320 6212610 6626784 8283480 9940176 11044640 12425220 16566960 19880352 24850440 33133920 49700880 99401760