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99156960 = 2534571093
BaseRepresentation
bin1011110100100…
…00001111100000
320220120200210000
411322100033200
5200341010320
613501140000
72312551230
oct572201740
9226520700
1099156960
1150a76101
122925a600
1317709b76
14d251cc0
158a89c90
hex5e903e0

99156960 has 240 divisors, whose sum is σ = 400298976. Its totient is φ = 22643712.

The previous prime is 99156919. The next prime is 99157001. The reversal of 99156960 is 6965199.

It is an interprime number because it is at equal distance from previous prime (99156919) and next prime (99157001).

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 90174 + ... + 91266.

Almost surely, 299156960 is an apocalyptic number.

99156960 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 99156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200149488).

99156960 is an abundant number, since it is smaller than the sum of its proper divisors (301142016).

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

99156960 is a wasteful number, since it uses less digits than its factorization.

99156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 99156960 is about 9957.7587839835. The cubic root of 99156960 is about 462.8508523543.

The spelling of 99156960 in words is "ninety-nine million, one hundred fifty-six thousand, nine hundred sixty".