Search a number
-
+
99956736 = 21132111729
BaseRepresentation
bin1011111010100…
…11100000000000
320222002022212100
411331103200000
5201042103421
613530230400
72322422025
oct575234000
9228068770
1099956736
1151471a80
1229585400
1317929bc9
14d3bd54c
158b96c26
hex5f53800

99956736 has 288 divisors, whose sum is σ = 344962800. Its totient is φ = 27525120.

The previous prime is 99956723. The next prime is 99956807. The reversal of 99956736 is 63765999.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3446770 + ... + 3446798.

Almost surely, 299956736 is an apocalyptic number.

99956736 is a gapful number since it is divisible by the number (96) 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 99956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172481400).

99956736 is an abundant number, since it is smaller than the sum of its proper divisors (245006064).

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

99956736 is a wasteful number, since it uses less digits than its factorization.

99956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 99956736 is about 9997.8365659777. The cubic root of 99956736 is about 464.0919358059.

The spelling of 99956736 in words is "ninety-nine million, nine hundred fifty-six thousand, seven hundred thirty-six".