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99971040 = 25351337433
BaseRepresentation
bin1011111010101…
…10111111100000
320222010001111010
411331112333200
5201043033130
613530420520
72322511521
oct575267740
9228101433
1099971040
11514817a4
1229591740
1317933580
14d3c4848
158b9b0b0
hex5f56fe0

99971040 has 192 divisors, whose sum is σ = 349102656. Its totient is φ = 23887872.

The previous prime is 99971023. The next prime is 99971051. The reversal of 99971040 is 4017999.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 99971040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230664 + ... + 231096.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 299971040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

99971040 is an abundant number, since it is smaller than the sum of its proper divisors (249131616).

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

99971040 is a wasteful number, since it uses less digits than its factorization.

99971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 99971040 is about 9998.5518951496. The cubic root of 99971040 is about 464.1140722310.

The spelling of 99971040 in words is "ninety-nine million, nine hundred seventy-one thousand, forty".