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99378360 = 233351929167
BaseRepresentation
bin1011110110001…
…10010010111000
320220222221111000
411323012102320
5200420101420
613510005000
72314462554
oct573062270
9226887430
1099378360
1151107484
1229346760
1317786883
14d2ac864
158ad0690
hex5ec64b8

99378360 has 256 divisors, whose sum is σ = 362880000. Its totient is φ = 24095232.

The previous prime is 99378347. The next prime is 99378397. The reversal of 99378360 is 6387399.

It is a happy number.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594997 + ... + 595163.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 299378360 is an apocalyptic number.

99378360 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 99378360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

99378360 is an abundant number, since it is smaller than the sum of its proper divisors (263501640).

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

99378360 is a wasteful number, since it uses less digits than its factorization.

99378360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

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

The square root of 99378360 is about 9968.8695447378. The cubic root of 99378360 is about 463.1950843796.

The spelling of 99378360 in words is "ninety-nine million, three hundred seventy-eight thousand, three hundred sixty".