Search a number
-
+
113142870 = 232531107379
BaseRepresentation
bin1101011111001…
…10110001010110
321212220020211200
412233212301112
5212431032440
615121013330
72542461411
oct657466126
9255806750
10113142870
1158958a05
1231a84246
131a595a59
1411052b78
159dedc30
hex6be6c56

113142870 has 96 divisors (see below), whose sum is σ = 307307520. Its totient is φ = 28848960.

The previous prime is 113142851. The next prime is 113142877. The reversal of 113142870 is 78241311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113142877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298341 + ... + 298719.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2113142870 is an apocalyptic number.

113142870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113142870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

113142870 is an abundant number, since it is smaller than the sum of its proper divisors (194164650).

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

113142870 is a wasteful number, since it uses less digits than its factorization.

113142870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 113142870 is about 10636.8637295022. The cubic root of 113142870 is about 483.6624784074.

The spelling of 113142870 in words is "one hundred thirteen million, one hundred forty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 107 155 186 214 279 310 321 379 465 535 558 642 758 930 963 1070 1137 1395 1605 1895 1926 2274 2790 3210 3317 3411 3790 4815 5685 6634 6822 9630 9951 11370 11749 16585 17055 19902 23498 29853 33170 34110 35247 40553 49755 58745 59706 70494 81106 99510 105741 117490 121659 149265 176235 202765 211482 243318 298530 352470 364977 405530 528705 608295 729954 1057410 1216590 1257143 1824885 2514286 3649770 3771429 6285715 7542858 11314287 12571430 18857145 22628574 37714290 56571435 113142870