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110420136 = 233237181229
BaseRepresentation
bin1101001010011…
…10000010101000
321200202220221200
412211032002220
5211231421021
614542404200
72510361411
oct645160250
9250686850
10110420136
1157369312
1230b90660
1319b51678
1410944808
159a62126
hex694e0a8

110420136 has 96 divisors (see below), whose sum is σ = 310182600. Its totient is φ = 35458560.

The previous prime is 110420119. The next prime is 110420179. The reversal of 110420136 is 631024011.

It is a happy number.

110420136 is a `hidden beast` number, since 110 + 420 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103917636 + 6502500 = 10194^2 + 2550^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482070 + ... + 482298.

Almost surely, 2110420136 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 110420136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155091300).

110420136 is an abundant number, since it is smaller than the sum of its proper divisors (199762464).

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

110420136 is a wasteful number, since it uses less digits than its factorization.

110420136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 110420136 is about 10508.0985910868. The cubic root of 110420136 is about 479.7512252538.

Adding to 110420136 its reverse (631024011), we get a palindrome (741444147).

The spelling of 110420136 in words is "one hundred ten million, four hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 181 222 229 296 333 362 444 458 543 666 687 724 888 916 1086 1332 1374 1448 1629 1832 2061 2172 2664 2748 3258 4122 4344 5496 6516 6697 8244 8473 13032 13394 16488 16946 20091 25419 26788 33892 40182 41449 50838 53576 60273 67784 76257 80364 82898 101676 120546 124347 152514 160728 165796 203352 241092 248694 305028 331592 373041 482184 497388 610056 746082 994776 1492164 1533613 2984328 3067226 4600839 6134452 9201678 12268904 13802517 18403356 27605034 36806712 55210068 110420136