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111970680 = 23353312819
BaseRepresentation
bin1101010110010…
…00100101111000
321210200200220020
412223020211320
5212131030210
615035530440
72526510063
oct653104570
9253620806
10111970680
1158228258
12315b9a20
131a275353
1410c298da
159c6b770
hex6ac8978

111970680 has 64 divisors (see below), whose sum is σ = 337046400. Its totient is φ = 29758080.

The previous prime is 111970679. The next prime is 111970697. The reversal of 111970680 is 86079111.

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, 38311 + ... + 41129.

It is an arithmetic number, because the mean of its divisors is an integer number (5266350).

Almost surely, 2111970680 is an apocalyptic number.

111970680 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 111970680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168523200).

111970680 is an abundant number, since it is smaller than the sum of its proper divisors (225075720).

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

111970680 is a wasteful number, since it uses less digits than its factorization.

111970680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 111970680 is about 10581.6199137939. The cubic root of 111970680 is about 481.9863864431.

The spelling of 111970680 in words is "one hundred eleven million, nine hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 2819 3310 3972 4965 5638 6620 7944 8457 9930 11276 13240 14095 16914 19860 22552 28190 33828 39720 42285 56380 67656 84570 112760 169140 338280 933089 1866178 2799267 3732356 4665445 5598534 7464712 9330890 11197068 13996335 18661780 22394136 27992670 37323560 55985340 111970680