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99293040 = 24345711199
BaseRepresentation
bin1011110101100…
…01011101110000
320220211121110000
411322301131300
5200404334130
613504110000
72313656040
oct572613560
9226747400
1099293040
1151059370
1229305300
1317756aa2
14d289720
158ab5260
hex5eb1770

99293040 has 400 divisors, whose sum is σ = 432115200. Its totient is φ = 20528640.

The previous prime is 99293027. The next prime is 99293041. The reversal of 99293040 is 4039299.

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

It is a junction number, because it is equal to n+sod(n) for n = 99292986 and 99293004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99293041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498861 + ... + 499059.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 299293040 is an apocalyptic number.

99293040 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 99293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

99293040 is an abundant number, since it is smaller than the sum of its proper divisors (332822160).

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

99293040 is a wasteful number, since it uses less digits than its factorization.

99293040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99293040 is about 9964.5893041309. The cubic root of 99293040 is about 463.0624897191.

The spelling of 99293040 in words is "ninety-nine million, two hundred ninety-three thousand, forty".