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111640542 = 231319711061
BaseRepresentation
bin1101010011101…
…11111111011110
321210001221000220
412221313333132
5212034444132
615024502210
72523633426
oct651677736
9253057026
10111640542
1158022212
123147a966
131a18acc0
1410b81486
159c03a2c
hex6a77fde

111640542 has 64 divisors (see below), whose sum is σ = 256919040. Its totient is φ = 32054400.

The previous prime is 111640541. The next prime is 111640577. The reversal of 111640542 is 245046111.

It is a happy number.

It is a super-2 number, since 2×1116405422 = 24927221236107528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111640541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104692 + ... + 105752.

It is an arithmetic number, because the mean of its divisors is an integer number (4014360).

Almost surely, 2111640542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111640542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128459520).

111640542 is an abundant number, since it is smaller than the sum of its proper divisors (145278498).

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

111640542 is a wasteful number, since it uses less digits than its factorization.

111640542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 111640542 is about 10566.0088018135. The cubic root of 111640542 is about 481.5122186664.

Adding to 111640542 its reverse (245046111), we get a palindrome (356686653).

The spelling of 111640542 in words is "one hundred eleven million, six hundred forty thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 426 494 741 923 1061 1349 1482 1846 2122 2698 2769 3183 4047 5538 6366 8094 13793 17537 20159 27586 35074 40318 41379 52611 60477 75331 82758 105222 120954 150662 225993 262067 451986 524134 786201 979303 1431289 1572402 1958606 2862578 2937909 4293867 5875818 8587734 18606757 37213514 55820271 111640542