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116779460 = 225717139353
BaseRepresentation
bin1101111010111…
…10100111000100
322010202000022012
412331132213010
5214343420320
615330553352
72615415620
oct675364704
9263660265
10116779460
115aa12156
1233138858
131b26a095
141171c180
15a3bb4c5
hex6f5e9c4

116779460 has 96 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 37306368.

The previous prime is 116779457. The next prime is 116779471. The reversal of 116779460 is 64977611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330644 + ... + 330996.

It is an arithmetic number, because the mean of its divisors is an integer number (3122280).

Almost surely, 2116779460 is an apocalyptic number.

116779460 is a gapful number since it is divisible by the number (10) 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 116779460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

116779460 is an abundant number, since it is smaller than the sum of its proper divisors (182959420).

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

116779460 is a wasteful number, since it uses less digits than its factorization.

116779460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 116779460 is about 10806.4545527199. The cubic root of 116779460 is about 488.7898221751.

The spelling of 116779460 in words is "one hundred sixteen million, seven hundred seventy-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 139 140 170 238 278 340 353 476 556 595 695 706 973 1190 1390 1412 1765 1946 2363 2380 2471 2780 3530 3892 4726 4865 4942 6001 7060 9452 9730 9884 11815 12002 12355 16541 19460 23630 24004 24710 30005 33082 42007 47260 49067 49420 60010 66164 82705 84014 98134 120020 165410 168028 196268 210035 245335 330820 343469 420070 490670 686938 834139 840140 981340 1373876 1668278 1717345 3336556 3434690 4170695 5838973 6869380 8341390 11677946 16682780 23355892 29194865 58389730 116779460