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113333328 = 243219231801
BaseRepresentation
bin1101100000101…
…01010001010000
321220020221002200
412300111101100
5213003131303
615125043200
72544213603
oct660252120
9256227080
10113333328
1158a79009
1231b56500
131a631654
14110a233a
159e3a3a3
hex6c15450

113333328 has 120 divisors (see below), whose sum is σ = 348578880. Its totient is φ = 34214400.

The previous prime is 113333317. The next prime is 113333333. The reversal of 113333328 is 823333311.

113333328 is a `hidden beast` number, since 1 + 1 + 3 + 333 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62028 + ... + 63828.

It is an arithmetic number, because the mean of its divisors is an integer number (2904824).

Almost surely, 2113333328 is an apocalyptic number.

113333328 is a gapful number since it is divisible by the number (18) 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 113333328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174289440).

113333328 is an abundant number, since it is smaller than the sum of its proper divisors (235245552).

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

113333328 is a wasteful number, since it uses less digits than its factorization.

113333328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 113333328 is about 10645.8126979578. The cubic root of 113333328 is about 483.9337158505.

Adding to 113333328 its reverse (823333311), we get a palindrome (936666639).

The spelling of 113333328 in words is "one hundred thirteen million, three hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 552 684 828 874 912 1104 1311 1368 1656 1748 1801 2622 2736 3312 3496 3602 3933 5244 5403 6992 7204 7866 10488 10806 14408 15732 16209 20976 21612 28816 31464 32418 34219 41423 43224 62928 64836 68438 82846 86448 102657 124269 129672 136876 165692 205314 248538 259344 273752 307971 331384 372807 410628 497076 547504 615942 662768 745614 787037 821256 994152 1231884 1491228 1574074 1642512 1988304 2361111 2463768 2982456 3148148 4722222 4927536 5964912 6296296 7083333 9444444 12592592 14166666 18888888 28333332 37777776 56666664 113333328