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99095040 = 29325111723
BaseRepresentation
bin1011110100000…
…01001000000000
320220110112211200
411322001020000
5200332020130
613455541200
72312202552
oct572011000
9226415750
1099095040
1150a33630
122922a800
13176b7925
14d2374d2
158a76760
hex5e81200

99095040 has 480 divisors, whose sum is σ = 413652096. Its totient is φ = 21626880.

The previous prime is 99095033. The next prime is 99095047. The reversal of 99095040 is 4059099.

It is an interprime number because it is at equal distance from previous prime (99095033) and next prime (99095047).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 99094986 and 99095004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99095047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308469 + ... + 4308491.

Almost surely, 299095040 is an apocalyptic number.

99095040 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 99095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826048).

99095040 is an abundant number, since it is smaller than the sum of its proper divisors (314557056).

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

99095040 is a wasteful number, since it uses less digits than its factorization.

99095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99095040 is about 9954.6491650886. The cubic root of 99095040 is about 462.7544876529.

The spelling of 99095040 in words is "ninety-nine million, ninety-five thousand, forty".