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110428192 = 2571747617
BaseRepresentation
bin1101001010100…
…00000000100000
321200210100000001
412211100000200
5211232200232
614542505344
72510424040
oct645200040
9250710001
10110428192
1157374376
1230b95254
1319b55234
1410947720
159a646e7
hex6950020

110428192 has 96 divisors (see below), whose sum is σ = 269111808. Its totient is φ = 43524096.

The previous prime is 110428187. The next prime is 110428229. The reversal of 110428192 is 291824011.

It is a super-3 number, since 3×1104281923 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 110428192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178668 + ... + 179284.

It is an arithmetic number, because the mean of its divisors is an integer number (2803248).

Almost surely, 2110428192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134555904).

110428192 is an abundant number, since it is smaller than the sum of its proper divisors (158683616).

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

110428192 is a wasteful number, since it uses less digits than its factorization.

110428192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 110428192 is about 10508.4819074879. The cubic root of 110428192 is about 479.7628921533.

The spelling of 110428192 in words is "one hundred ten million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 47 56 68 94 112 119 136 188 224 238 272 329 376 476 544 617 658 752 799 952 1234 1316 1504 1598 1904 2468 2632 3196 3808 4319 4936 5264 5593 6392 8638 9872 10489 10528 11186 12784 17276 19744 20978 22372 25568 28999 34552 41956 44744 57998 69104 73423 83912 89488 115996 138208 146846 167824 178976 202993 231992 293692 335648 405986 463984 492983 587384 811972 927968 985966 1174768 1623944 1971932 2349536 3247888 3450881 3943864 6495776 6901762 7887728 13803524 15775456 27607048 55214096 110428192