Search a number
-
+
107091456 = 293113617
BaseRepresentation
bin1100110001000…
…01011000000000
321110111210212020
412120201120000
5204403411311
614343201440
72440155663
oct630413000
9243453766
10107091456
11554a543a
122ba46280
1319257534
14103196da
159605c06
hex6621600

107091456 has 80 divisors (see below), whose sum is σ = 288289584. Its totient is φ = 35323904.

The previous prime is 107091451. The next prime is 107091493. The reversal of 107091456 is 654190701.

It is a super-2 number, since 2×1070914562 = 22937159896399872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107091451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173260 + ... + 173876.

Almost surely, 2107091456 is an apocalyptic number.

107091456 is a gapful number since it is divisible by the number (16) 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 107091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144792).

107091456 is an abundant number, since it is smaller than the sum of its proper divisors (181198128).

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

107091456 is an equidigital number, since it uses as much as digits as its factorization.

107091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 107091456 is about 10348.5001811857. The cubic root of 107091456 is about 474.8811610369.

The spelling of 107091456 in words is "one hundred seven million, ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 617 678 768 904 1234 1356 1536 1808 1851 2468 2712 3616 3702 4936 5424 7232 7404 9872 10848 14464 14808 19744 21696 28928 29616 39488 43392 57856 59232 69721 78976 86784 118464 139442 157952 173568 209163 236928 278884 315904 418326 473856 557768 836652 947712 1115536 1673304 2231072 3346608 4462144 6693216 8924288 13386432 17848576 26772864 35697152 53545728 107091456