Search a number
-
+
99760122 = 232711167431
BaseRepresentation
bin1011111001000…
…11011111111010
320221201100011100
411330203133322
5201014310442
613522112230
72320642560
oct574433772
9227640140
1099760122
1151348290
12294ab676
131788b577
14d36ba30
158b5884c
hex5f237fa

99760122 has 96 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 25696800.

The previous prime is 99760117. The next prime is 99760123. The reversal of 99760122 is 22106799.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99760123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231247 + ... + 231677.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 299760122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99760122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

99760122 is an abundant number, since it is smaller than the sum of its proper divisors (171964422).

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

99760122 is a wasteful number, since it uses less digits than its factorization.

99760122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99760122 is about 9987.9988986784. The cubic root of 99760122 is about 463.7874478567.

The spelling of 99760122 in words is "ninety-nine million, seven hundred sixty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 167 198 231 334 431 462 501 693 862 1002 1169 1293 1386 1503 1837 2338 2586 3006 3017 3507 3674 3879 4741 5511 6034 7014 7758 9051 9482 10521 11022 12859 14223 16533 18102 21042 25718 27153 28446 33066 33187 38577 42669 54306 66374 71977 77154 85338 99561 115731 143954 199122 215931 231462 298683 431862 503839 597366 647793 791747 1007678 1295586 1511517 1583494 2375241 3023034 4534551 4750482 5542229 7125723 9069102 11084458 14251446 16626687 33253374 49880061 99760122