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99937440 = 2532569401
BaseRepresentation
bin1011111010011…
…10110010100000
320222001100101200
411331032302200
5201040444230
613530001200
72322311541
oct575166240
9228040350
1099937440
1151459529
1229576200
13179211a5
14d3b64c8
158b91160
hex5f4eca0

99937440 has 72 divisors (see below), whose sum is σ = 341041428. Its totient is φ = 26649600.

The previous prime is 99937433. The next prime is 99937469. The reversal of 99937440 is 4473999.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 17424 = 9996^2 + 132^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33261 + ... + 36140.

Almost surely, 299937440 is an apocalyptic number.

99937440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99937440 is an abundant number, since it is smaller than the sum of its proper divisors (241103988).

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

99937440 is a wasteful number, since it uses less digits than its factorization.

99937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69422 (or 69411 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 99937440 is about 9996.8715106277. The cubic root of 99937440 is about 464.0620705706.

The spelling of 99937440 in words is "ninety-nine million, nine hundred thirty-seven thousand, four hundred forty".

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 69401 138802 208203 277604 347005 416406 555208 624609 694010 832812 1041015 1110416 1249218 1388020 1665624 2082030 2220832 2498436 2776040 3123045 3331248 4164060 4996872 5552080 6246090 6662496 8328120 9993744 11104160 12492180 16656240 19987488 24984360 33312480 49968720 99937440