Search a number
-
+
113094144 = 2937101
BaseRepresentation
bin1101011110110…
…10111000000000
321212210210000000
412233122320000
5212423003034
615120000000
72542166352
oct657327000
9255723000
10113094144
1158925339
1231a60000
131a579817
141103d0d2
159dde599
hex6bdae00

113094144 has 160 divisors (see below), whose sum is σ = 342254880. Its totient is φ = 37324800.

The previous prime is 113094139. The next prime is 113094187. The reversal of 113094144 is 441490311.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 1119694 + ... + 1119794.

It is an arithmetic number, because the mean of its divisors is an integer number (2139093).

Almost surely, 2113094144 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 113094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171127440).

113094144 is an abundant number, since it is smaller than the sum of its proper divisors (229160736).

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

113094144 is an frugal number, since it uses more digits than its factorization.

113094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 113094144 is about 10634.5730520788. The cubic root of 113094144 is about 483.5930372314.

The spelling of 113094144 in words is "one hundred thirteen million, ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 128 144 162 192 202 216 243 256 288 303 324 384 404 432 486 512 576 606 648 729 768 808 864 909 972 1152 1212 1296 1458 1536 1616 1728 1818 1944 2187 2304 2424 2592 2727 2916 3232 3456 3636 3888 4374 4608 4848 5184 5454 5832 6464 6912 7272 7776 8181 8748 9696 10368 10908 11664 12928 13824 14544 15552 16362 17496 19392 20736 21816 23328 24543 25856 29088 31104 32724 34992 38784 41472 43632 46656 49086 51712 58176 62208 65448 69984 73629 77568 87264 93312 98172 116352 124416 130896 139968 147258 155136 174528 186624 196344 220887 232704 261792 279936 294516 349056 373248 392688 441774 465408 523584 559872 589032 698112 785376 883548 1047168 1119744 1178064 1396224 1570752 1767096 2094336 2356128 3141504 3534192 4188672 4712256 6283008 7068384 9424512 12566016 14136768 18849024 28273536 37698048 56547072 113094144