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106240356 = 22335916673
BaseRepresentation
bin1100101010100…
…01100101100100
321101220120101000
412111101211210
5204144142411
614313033300
72430012435
oct625214544
9241816330
10106240356
1154a73a52
122b6b5830
131901a021
141017748c
1594d8956
hex6551964

106240356 has 48 divisors (see below), whose sum is σ = 280123200. Its totient is φ = 34811136.

The previous prime is 106240339. The next prime is 106240367. The reversal of 106240356 is 653042601.

106240356 is a `hidden beast` number, since 1 + 0 + 624 + 0 + 35 + 6 = 666.

It is a super-2 number, since 2×1062403562 = 22574026486013472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1965 + ... + 14708.

It is an arithmetic number, because the mean of its divisors is an integer number (5835900).

Almost surely, 2106240356 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 106240356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140061600).

106240356 is an abundant number, since it is smaller than the sum of its proper divisors (173882844).

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

106240356 is a wasteful number, since it uses less digits than its factorization.

106240356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16745 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106240356 is about 10307.2962507148. The cubic root of 106240356 is about 473.6197880341.

Adding to 106240356 its reverse (653042601), we get a palindrome (759282957).

The spelling of 106240356 in words is "one hundred six million, two hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 16673 33346 50019 66692 100038 150057 200076 300114 450171 600228 900342 983707 1800684 1967414 2951121 3934828 5902242 8853363 11804484 17706726 26560089 35413452 53120178 106240356