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111677340 = 223513211409
BaseRepresentation
bin1101010100000…
…00111110011100
321210010210111210
412222000332130
5212042133330
615025344420
72524145625
oct652007634
9253123453
10111677340
1158047925
1231498110
131a1a1988
1410b90a4c
159c0e8b0
hex6a80f9c

111677340 has 48 divisors (see below), whose sum is σ = 313155360. Its totient is φ = 29736960.

The previous prime is 111677339. The next prime is 111677341. The reversal of 111677340 is 43776111.

It is an interprime number because it is at equal distance from previous prime (111677339) and next prime (111677341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111677298 and 111677307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111677341) by changing a digit.

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, 78556 + ... + 79964.

It is an arithmetic number, because the mean of its divisors is an integer number (6524070).

Almost surely, 2111677340 is an apocalyptic number.

111677340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111677340 is an abundant number, since it is smaller than the sum of its proper divisors (201478020).

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

111677340 is a wasteful number, since it uses less digits than its factorization.

111677340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 111677340 is about 10567.7499970429. The cubic root of 111677340 is about 481.5651168338.

The spelling of 111677340 in words is "one hundred eleven million, six hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1321 1409 2642 2818 3963 4227 5284 5636 6605 7045 7926 8454 13210 14090 15852 16908 19815 21135 26420 28180 39630 42270 79260 84540 1861289 3722578 5583867 7445156 9306445 11167734 18612890 22335468 27919335 37225780 55838670 111677340