Search a number
-
+
107086716 = 223211270421
BaseRepresentation
bin1100110001000…
…00001101111100
321110111120100200
412120200031330
5204403233331
614343123500
72440136112
oct630401574
9243446320
10107086716
11554a1920
122ba43590
1319255329
1410317ab2
1596045e6
hex662037c

107086716 has 36 divisors (see below), whose sum is σ = 295300824. Its totient is φ = 32450400.

The previous prime is 107086709. The next prime is 107086729. The reversal of 107086716 is 617680701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1070867162 = 22935129487329312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134815 + ... + 135606.

Almost surely, 2107086716 is an apocalyptic number.

It is an amenable number.

107086716 is an abundant number, since it is smaller than the sum of its proper divisors (188214108).

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

107086716 is a wasteful number, since it uses less digits than its factorization.

107086716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270442 (or 270437 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107086716 is about 10348.2711599571. The cubic root of 107086716 is about 474.8741546581.

It can be divided in two parts, 10708 and 6716, that added together give a square (17424 = 1322).

The spelling of 107086716 in words is "one hundred seven million, eighty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 270421 540842 811263 1081684 1622526 2433789 2974631 3245052 4867578 5949262 8923893 9735156 11898524 17847786 26771679 35695572 53543358 107086716