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116587776 = 283315983
BaseRepresentation
bin1101111001011…
…11110100000000
322010101021100210
412330233310000
5214321302101
615322514120
72613660024
oct674576400
9263337323
10116587776
115a8a1138
1233065940
131b200a66
14116ac384
15a37e7d6
hex6f2fd00

116587776 has 144 divisors (see below), whose sum is σ = 329656320. Its totient is φ = 36526080.

The previous prime is 116587771. The next prime is 116587787. The reversal of 116587776 is 677785611.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116587771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404631 + ... + 1404713.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2116587776 is an apocalyptic number.

116587776 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 116587776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

116587776 is an abundant number, since it is smaller than the sum of its proper divisors (213068544).

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

116587776 is an equidigital number, since it uses as much as digits as its factorization.

116587776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 493920, while the sum is 48.

The square root of 116587776 is about 10797.5819515297. The cubic root of 116587776 is about 488.5222394503.

The spelling of 116587776 in words is "one hundred sixteen million, five hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 64 83 93 96 118 124 128 166 177 186 192 236 248 249 256 332 354 372 384 472 496 498 664 708 744 768 944 992 996 1328 1416 1488 1829 1888 1984 1992 2573 2656 2832 2976 3658 3776 3968 3984 4897 5146 5312 5487 5664 5952 7316 7552 7719 7936 7968 9794 10292 10624 10974 11328 11904 14632 14691 15104 15438 15936 19588 20584 21248 21948 22656 23808 29264 29382 30876 31872 39176 41168 43896 45312 58528 58764 61752 63744 78352 82336 87792 117056 117528 123504 151807 156704 164672 175584 234112 235056 247008 303614 313408 329344 351168 455421 468224 470112 494016 607228 626816 658688 702336 910842 940224 988032 1214456 1253632 1404672 1821684 1880448 1976064 2428912 3643368 3760896 4857824 7286736 9715648 14573472 19431296 29146944 38862592 58293888 116587776