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113212640 = 25519167223
BaseRepresentation
bin1101011111101…
…11110011100000
321220000210112202
412233313303200
5212440301030
615122312332
72543202002
oct657676340
9256023482
10113212640
11589a6372
1231ab86a8
131a5bb738
1411070372
159e14745
hex6bf7ce0

113212640 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 42453504.

The previous prime is 113212591. The next prime is 113212657. The reversal of 113212640 is 46212311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507569 + ... + 507791.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2113212640 is an apocalyptic number.

113212640 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 113212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

113212640 is an abundant number, since it is smaller than the sum of its proper divisors (171285280).

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

113212640 is a wasteful number, since it uses less digits than its factorization.

113212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 113212640 is about 10640.1428561838. The cubic root of 113212640 is about 483.7618754415.

Adding to 113212640 its reverse (46212311), we get a palindrome (159424951).

The spelling of 113212640 in words is "one hundred thirteen million, two hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 167 190 223 304 334 380 446 608 668 760 835 892 1115 1336 1520 1670 1784 2230 2672 3040 3173 3340 3568 4237 4460 5344 6346 6680 7136 8474 8920 12692 13360 15865 16948 17840 21185 25384 26720 31730 33896 35680 37241 42370 50768 63460 67792 74482 84740 101536 126920 135584 148964 169480 186205 253840 297928 338960 372410 507680 595856 677920 707579 744820 1191712 1415158 1489640 2830316 2979280 3537895 5660632 5958560 7075790 11321264 14151580 22642528 28303160 56606320 113212640