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113433880 = 2357412241
BaseRepresentation
bin1101100001011…
…01110100011000
321220110001000211
412300231310120
5213014341010
615131140504
72545113010
oct660556430
9256401024
10113433880
115903760a
1231ba4734
131a668351
14110cac40
159e5a08a
hex6c2dd18

113433880 has 96 divisors (see below), whose sum is σ = 300215520. Its totient is φ = 37785600.

The previous prime is 113433847. The next prime is 113433883. The reversal of 113433880 is 88334311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113433883) 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 23 ways as a sum of consecutive naturals, for example, 470560 + ... + 470800.

It is an arithmetic number, because the mean of its divisors is an integer number (3127245).

Almost surely, 2113433880 is an apocalyptic number.

113433880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113433880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107760).

113433880 is an abundant number, since it is smaller than the sum of its proper divisors (186781640).

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

113433880 is a wasteful number, since it uses less digits than its factorization.

113433880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 113433880 is about 10650.5342588999. The cubic root of 113433880 is about 484.0767926783.

The spelling of 113433880 in words is "one hundred thirteen million, four hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 241 280 287 328 410 482 574 820 964 1148 1205 1435 1640 1681 1687 1928 2296 2410 2870 3362 3374 4820 5740 6724 6748 8405 8435 9640 9881 11480 11767 13448 13496 16810 16870 19762 23534 33620 33740 39524 47068 49405 58835 67240 67480 69167 79048 94136 98810 117670 138334 197620 235340 276668 345835 395240 405121 470680 553336 691670 810242 1383340 1620484 2025605 2766680 2835847 3240968 4051210 5671694 8102420 11343388 14179235 16204840 22686776 28358470 56716940 113433880