Search a number
-
+
99881520 = 2435735701
BaseRepresentation
bin1011111010000…
…01001000110000
320221221111200120
411331001020300
5201032202040
613524450240
72321656524
oct575011060
9227844616
1099881520
1151420512
1229549980
13179018bb
14d39dd84
158b7e7d0
hex5f41230

99881520 has 80 divisors (see below), whose sum is σ = 313929312. Its totient is φ = 26265600.

The previous prime is 99881519. The next prime is 99881527. The reversal of 99881520 is 2518899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (99881527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14670 + ... + 20370.

Almost surely, 299881520 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 99881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156964656).

99881520 is an abundant number, since it is smaller than the sum of its proper divisors (214047792).

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

99881520 is a wasteful number, since it uses less digits than its factorization.

99881520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 99881520 is about 9994.0742442710. The cubic root of 99881520 is about 463.9754991026.

The spelling of 99881520 in words is "ninety-nine million, eight hundred eighty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5701 5840 8760 11402 17103 17520 22804 28505 34206 45608 57010 68412 85515 91216 114020 136824 171030 228040 273648 342060 416173 456080 684120 832346 1248519 1368240 1664692 2080865 2497038 3329384 4161730 4994076 6242595 6658768 8323460 9988152 12485190 16646920 19976304 24970380 33293840 49940760 99881520