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103198832 = 24111135189
BaseRepresentation
bin1100010011010…
…11000001110000
321012012001011222
412021223001300
5202404330312
614123524212
72362114142
oct611530160
9235161158
10103198832
11532868a0
122a689668
13184c37c9
14d9c4c92
1590d7672
hex626b070

103198832 has 40 divisors (see below), whose sum is σ = 220097520. Its totient is φ = 46484480.

The previous prime is 103198831. The next prime is 103198853. The reversal of 103198832 is 238891301.

It is a junction number, because it is equal to n+sod(n) for n = 103198792 and 103198801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103198831) 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 7 ways as a sum of consecutive naturals, for example, 17294 + ... + 22482.

It is an arithmetic number, because the mean of its divisors is an integer number (5502438).

Almost surely, 2103198832 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 103198832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110048760).

103198832 is an abundant number, since it is smaller than the sum of its proper divisors (116898688).

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

103198832 is a wasteful number, since it uses less digits than its factorization.

103198832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 103198832 is about 10158.6825917537. The cubic root of 103198832 is about 469.0562501958.

The spelling of 103198832 in words is "one hundred three million, one hundred ninety-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 4972 5189 9944 10378 19888 20756 41512 57079 83024 114158 228316 456632 586357 913264 1172714 2345428 4690856 6449927 9381712 12899854 25799708 51599416 103198832