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116772354 = 23417109389
BaseRepresentation
bin1101111010111…
…00111000000010
322010201122120000
412331130320002
5214343203404
615330500430
72615356116
oct675347002
9263648500
10116772354
115aa07886
1233134716
131b266a8a
1411719746
15a3b9339
hex6f5ce02

116772354 has 80 divisors (see below), whose sum is σ = 280308600. Its totient is φ = 36205056.

The previous prime is 116772329. The next prime is 116772401. The reversal of 116772354 is 453277611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107682129 + 9090225 = 10377^2 + 3015^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 299992 + ... + 300380.

Almost surely, 2116772354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116772354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140154300).

116772354 is an abundant number, since it is smaller than the sum of its proper divisors (163536246).

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

116772354 is a wasteful number, since it uses less digits than its factorization.

116772354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 116772354 is about 10806.1257627329. The cubic root of 116772354 is about 488.7799077291.

The spelling of 116772354 in words is "one hundred sixteen million, seven hundred seventy-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 109 153 162 218 306 327 389 459 654 778 918 981 1167 1377 1853 1962 2334 2754 2943 3501 3706 5559 5886 6613 7002 8829 10503 11118 13226 16677 17658 19839 21006 31509 33354 39678 42401 50031 59517 63018 84802 100062 119034 127203 150093 178551 254406 300186 357102 381609 535653 720817 763218 1071306 1144827 1441634 2162451 2289654 3434481 4324902 6487353 6868962 12974706 19462059 38924118 58386177 116772354