Search a number
-
+
99968520 = 23358310037
BaseRepresentation
bin1011111010101…
…10011000001000
320222002221000210
411331112120020
5201042443040
613530401120
72322501261
oct575263010
9228087023
1099968520
115147a913
12295901a0
1317932392
14d3c3968
158b9a480
hex5f56608

99968520 has 64 divisors (see below), whose sum is σ = 303549120. Its totient is φ = 26334464.

The previous prime is 99968471. The next prime is 99968527. The reversal of 99968520 is 2586999.

It is a self number, because there is not a number n which added to its sum of digits gives 99968520.

It is not an unprimeable number, because it can be changed into a prime (99968527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (4742955).

Almost surely, 299968520 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 99968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151774560).

99968520 is an abundant number, since it is smaller than the sum of its proper divisors (203580600).

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

99968520 is a wasteful number, since it uses less digits than its factorization.

99968520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 99968520 is about 9998.4258761067. The cubic root of 99968520 is about 464.1101725107.

The spelling of 99968520 in words is "ninety-nine million, nine hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 10037 20074 30111 40148 50185 60222 80296 100370 120444 150555 200740 240888 301110 401480 602220 833071 1204440 1666142 2499213 3332284 4165355 4998426 6664568 8330710 9996852 12496065 16661420 19993704 24992130 33322840 49984260 99968520