Search a number
-
+
99972136 = 23112139743
BaseRepresentation
bin1011111010101…
…11010000101000
320222010002222201
411331113100220
5201043102021
613530425544
72322514645
oct575272050
9228102881
1099972136
1151482600
12295922b4
1317933c14
14d3c4dcc
158b9b591
hex5f57428

99972136 has 48 divisors (see below), whose sum is σ = 207799200. Its totient is φ = 45054240.

The previous prime is 99972079. The next prime is 99972157. The reversal of 99972136 is 63127999.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134181 + ... + 134923.

It is an arithmetic number, because the mean of its divisors is an integer number (4329150).

Almost surely, 299972136 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 99972136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

99972136 is an abundant number, since it is smaller than the sum of its proper divisors (107827064).

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

99972136 is a wasteful number, since it uses less digits than its factorization.

99972136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its digits is 183708, while the sum is 46.

The square root of 99972136 is about 9998.6067029362. The cubic root of 99972136 is about 464.1157682794.

The spelling of 99972136 in words is "ninety-nine million, nine hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 121 139 242 278 484 556 743 968 1112 1486 1529 2972 3058 5944 6116 8173 12232 16346 16819 32692 33638 65384 67276 89903 103277 134552 179806 206554 359612 413108 719224 826216 1136047 2272094 4544188 9088376 12496517 24993034 49986068 99972136