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113333472 = 2533722677
BaseRepresentation
bin1101100000101…
…01010011100000
321220020221022000
412300111103200
5213003132342
615125044000
72544214200
oct660252340
9256227260
10113333472
1158a7912a
1231b56600
131a631735
14110a2400
159e3a44c
hex6c154e0

113333472 has 144 divisors (see below), whose sum is σ = 384667920. Its totient is φ = 32368896.

The previous prime is 113333417. The next prime is 113333483. The reversal of 113333472 is 274333311.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40998 + ... + 43674.

It is an arithmetic number, because the mean of its divisors is an integer number (2671305).

Almost surely, 2113333472 is an apocalyptic number.

113333472 is a gapful number since it is divisible by the number (12) 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 113333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192333960).

113333472 is an abundant number, since it is smaller than the sum of its proper divisors (271334448).

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

113333472 is a wasteful number, since it uses less digits than its factorization.

113333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2689 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 113333472 is about 10645.8194611782. The cubic root of 113333472 is about 483.9339208106.

Adding to 113333472 its reverse (274333311), we get a palindrome (387666783).

The spelling of 113333472 in words is "one hundred thirteen million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 2677 3024 3528 4704 5292 5354 6048 7056 8031 10584 10708 14112 16062 18739 21168 21416 24093 32124 37478 42336 42832 48186 56217 64248 72279 74956 85664 96372 112434 128496 131173 144558 149912 168651 192744 224868 256992 262346 289116 299824 337302 385488 393519 449736 505953 524692 578232 599648 674604 770976 787038 899472 1011906 1049384 1156464 1180557 1349208 1574076 1798944 2023812 2098768 2312928 2361114 2698416 3148152 3541671 4047624 4197536 4722228 5396832 6296304 7083342 8095248 9444456 12592608 14166684 16190496 18888912 28333368 37777824 56666736 113333472