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412110036 = 2232134092153
BaseRepresentation
bin11000100100000…
…100110011010100
31001201110100200200
4120210010303110
51321000010121
6104520540500
713132606662
oct3044046324
91051410620
10412110036
111a1697408
12b6021730
13674c16c0
143ca37c32
15262a6a26
hex18904cd4

412110036 has 72 divisors (see below), whose sum is σ = 1125120360. Its totient is φ = 126434304.

The previous prime is 412110007. The next prime is 412110059. The reversal of 412110036 is 630011214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 398002500 = 3756^2 + 19950^2 .

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

It is a congruent number.

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, 190336 + ... + 192488.

Almost surely, 2412110036 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 412110036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562560180).

412110036 is an abundant number, since it is smaller than the sum of its proper divisors (713010324).

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

412110036 is a wasteful number, since it uses less digits than its factorization.

412110036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2580 counting only the distinct ones).

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

The square root of 412110036 is about 20300.4934915386. The cubic root of 412110036 is about 744.1681245097.

The spelling of 412110036 in words is "four hundred twelve million, one hundred ten thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 818 1227 1636 2153 2454 3681 4306 4908 5317 6459 7362 8612 10634 12918 14724 15951 19377 21268 25836 27989 31902 38754 47853 55978 63804 77508 83967 95706 111956 167934 191412 251901 335868 503802 880577 1007604 1761154 2641731 3522308 5283462 7925193 10566924 11447501 15850386 22895002 31700772 34342503 45790004 68685006 103027509 137370012 206055018 412110036