Search a number
-
+
107208912 = 24331109661
BaseRepresentation
bin1100110001111…
…10000011010000
321110201202222110
412120332003100
5204421141122
614345505320
72441155266
oct630760320
9243652873
10107208912
1155575708
122baa2240
1319298b35
141034a436
15962a90c
hex663e0d0

107208912 has 80 divisors (see below), whose sum is σ = 288949760. Its totient is φ = 34214400.

The previous prime is 107208901. The next prime is 107208949. The reversal of 107208912 is 219802701.

It is a super-2 number, since 2×1072089122 = 22987501624447488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107208912.

It is a congruent number.

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, 161862 + ... + 162522.

It is an arithmetic number, because the mean of its divisors is an integer number (3611872).

Almost surely, 2107208912 is an apocalyptic number.

107208912 is a gapful number since it is divisible by the number (12) 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 107208912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144474880).

107208912 is an abundant number, since it is smaller than the sum of its proper divisors (181740848).

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

107208912 is a wasteful number, since it uses less digits than its factorization.

107208912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 107208912 is about 10354.1736512384. The cubic root of 107208912 is about 475.0547113342.

The spelling of 107208912 in words is "one hundred seven million, two hundred eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 109 124 186 218 248 327 372 436 496 654 661 744 872 1308 1322 1488 1744 1983 2616 2644 3379 3966 5232 5288 6758 7932 10137 10576 13516 15864 20274 20491 27032 31728 40548 40982 54064 61473 72049 81096 81964 122946 144098 162192 163928 216147 245892 288196 327856 432294 491784 576392 864588 983568 1152784 1729176 2233519 3458352 4467038 6700557 8934076 13401114 17868152 26802228 35736304 53604456 107208912