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113438780 = 225713157397
BaseRepresentation
bin1101100001011…
…11000000111100
321220110021202022
412300233000330
5213020020110
615131215312
72545133210
oct660570074
9256407668
10113438780
1159040264
1231ba7538
131a66a650
14110cc940
159e5b755
hex6c2f03c

113438780 has 96 divisors (see below), whose sum is σ = 295806336. Its totient is φ = 35582976.

The previous prime is 113438771. The next prime is 113438821. The reversal of 113438780 is 87834311.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 113438780.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 285542 + ... + 285938.

It is an arithmetic number, because the mean of its divisors is an integer number (3081316).

Almost surely, 2113438780 is an apocalyptic number.

113438780 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 113438780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147903168).

113438780 is an abundant number, since it is smaller than the sum of its proper divisors (182367556).

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

113438780 is a wasteful number, since it uses less digits than its factorization.

113438780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 113438780 is about 10650.7642918243. The cubic root of 113438780 is about 484.0837627950.

The spelling of 113438780 in words is "one hundred thirteen million, four hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 157 182 260 314 364 397 455 628 785 794 910 1099 1570 1588 1820 1985 2041 2198 2779 3140 3970 4082 4396 5161 5495 5558 7940 8164 10205 10322 10990 11116 13895 14287 20410 20644 21980 25805 27790 28574 36127 40820 51610 55580 57148 62329 71435 72254 103220 124658 142870 144508 180635 249316 285740 311645 361270 436303 623290 722540 810277 872606 1246580 1620554 1745212 2181515 3241108 4051385 4363030 5671939 8102770 8726060 11343878 16205540 22687756 28359695 56719390 113438780