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106436260 = 22572393181
BaseRepresentation
bin1100101100000…
…01011010100100
321102021112002201
412112001122210
5204221430020
614321144244
72431456540
oct626013244
9242245081
10106436260
1155098157
122b78b084
1319088248
14101c8a20
159526a0a
hex65816a4

106436260 has 48 divisors (see below), whose sum is σ = 256596480. Its totient is φ = 36328320.

The previous prime is 106436251. The next prime is 106436261. The reversal of 106436260 is 62634601.

It is a super-2 number, since 2×1064362602 = 22657354885575200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106436261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31870 + ... + 35050.

It is an arithmetic number, because the mean of its divisors is an integer number (5345760).

Almost surely, 2106436260 is an apocalyptic number.

106436260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106436260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128298240).

106436260 is an abundant number, since it is smaller than the sum of its proper divisors (150160220).

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

106436260 is a wasteful number, since it uses less digits than its factorization.

106436260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 106436260 is about 10316.7950449740. The cubic root of 106436260 is about 473.9107227990.

The spelling of 106436260 in words is "one hundred six million, four hundred thirty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 956 1195 1673 2390 3181 3346 4780 6362 6692 8365 12724 15905 16730 22267 31810 33460 44534 63620 89068 111335 222670 445340 760259 1520518 3041036 3801295 5321813 7602590 10643626 15205180 21287252 26609065 53218130 106436260