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99960120 = 233251323153
BaseRepresentation
bin1011111010101…
…00010100111000
320222002111111200
411331110110320
5201042210440
613530254200
72322434631
oct575242470
9228074450
1099960120
1151474577
1229587360
131792b600
14d3c0888
158b97c30
hex5f54538

99960120 has 288 divisors, whose sum is σ = 369982080. Its totient is φ = 23362560.

The previous prime is 99960061. The next prime is 99960127. The reversal of 99960120 is 2106999.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99960127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1886014 + ... + 1886066.

It is an arithmetic number, because the mean of its divisors is an integer number (1284660).

Almost surely, 299960120 is an apocalyptic number.

99960120 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 99960120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184991040).

99960120 is an abundant number, since it is smaller than the sum of its proper divisors (270021960).

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

99960120 is a wasteful number, since it uses less digits than its factorization.

99960120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 99960120 is about 9998.0058011585. The cubic root of 99960120 is about 464.0971729696.

The spelling of 99960120 in words is "ninety-nine million, nine hundred sixty thousand, one hundred twenty".