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99374400 = 26325267103
BaseRepresentation
bin1011110110001…
…01010101000000
320220222202001100
411323011111000
5200414440100
613505534400
72314445166
oct573052500
9226882040
1099374400
1151104504
1229344400
1317784b28
14d2ab236
158ace400
hex5ec5540

99374400 has 252 divisors, whose sum is σ = 361952032. Its totient is φ = 25850880.

The previous prime is 99374399. The next prime is 99374441. The reversal of 99374400 is 447399.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 964749 + ... + 964851.

Almost surely, 299374400 is an apocalyptic number.

99374400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180976016).

99374400 is an abundant number, since it is smaller than the sum of its proper divisors (262577632).

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

99374400 is a wasteful number, since it uses less digits than its factorization.

99374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 99374400 is about 9968.6709244513. The cubic root of 99374400 is about 463.1889318769.

The spelling of 99374400 in words is "ninety-nine million, three hundred seventy-four thousand, four hundred".