Search a number
-
+
981635172 = 223711686133
BaseRepresentation
bin111010100000101…
…001000001100100
32112102010020022020
4322200221001210
54002244311142
6241223503140
733216522060
oct7240510144
92472106266
10981635172
11464120041
122348b7ab0
131284aa11b
149452aaa0
155b2a4cec
hex3a829064

981635172 has 24 divisors (see below), whose sum is σ = 2617694016. Its totient is φ = 280467168.

The previous prime is 981635167. The next prime is 981635251. The reversal of 981635172 is 271536189.

It is a super-3 number, since 3×9816351723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5842983 + ... + 5843150.

It is an arithmetic number, because the mean of its divisors is an integer number (109070584).

Almost surely, 2981635172 is an apocalyptic number.

It is an amenable number.

981635172 is an abundant number, since it is smaller than the sum of its proper divisors (1636058844).

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

981635172 is a wasteful number, since it uses less digits than its factorization.

981635172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686147 (or 11686145 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 981635172 is about 31331.0576265788. The cubic root of 981635172 is about 993.8405294845.

The spelling of 981635172 in words is "nine hundred eighty-one million, six hundred thirty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11686133 23372266 35058399 46744532 70116798 81802931 140233596 163605862 245408793 327211724 490817586 981635172