Search a number
-
+
99661072 = 2471723079
BaseRepresentation
bin1011111000010…
…11010100010000
320221112022021211
411330023110100
5201003123242
613520025504
72320051030
oct574132420
9227468254
1099661072
115128a925
1229462294
1317855464
14d3438c0
158b39317
hex5f0b510

99661072 has 60 divisors (see below), whose sum is σ = 234498880. Its totient is φ = 40186368.

The previous prime is 99661039. The next prime is 99661073. The reversal of 99661072 is 27016699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99661073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30829 + ... + 33907.

Almost surely, 299661072 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 99661072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117249440).

99661072 is an abundant number, since it is smaller than the sum of its proper divisors (134837808).

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

99661072 is a wasteful number, since it uses less digits than its factorization.

99661072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 99661072 is about 9983.0392165913. The cubic root of 99661072 is about 463.6339016704.

The spelling of 99661072 in words is "ninety-nine million, six hundred sixty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1904 2023 2312 3079 4046 4624 6158 8092 12316 16184 21553 24632 32368 43106 49264 52343 86212 104686 172424 209372 344848 366401 418744 732802 837488 889831 1465604 1779662 2931208 3559324 5862416 6228817 7118648 12457634 14237296 24915268 49830536 99661072