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114355056 = 24317353397
BaseRepresentation
bin1101101000011…
…10101101110000
321222011211122110
412310032231300
5213233330211
615203005320
72556000444
oct664165560
9258154573
10114355056
1159606712
1232369840
131a8cb71a
141128a824
15a08cea6
hex6d0eb70

114355056 has 80 divisors (see below), whose sum is σ = 314470944. Its totient is φ = 35684352.

The previous prime is 114355013. The next prime is 114355067. The reversal of 114355056 is 650553411.

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, 287850 + ... + 288246.

Almost surely, 2114355056 is an apocalyptic number.

114355056 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 114355056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157235472).

114355056 is an abundant number, since it is smaller than the sum of its proper divisors (200115888).

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

114355056 is a wasteful number, since it uses less digits than its factorization.

114355056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 114355056 is about 10693.6923464255. The cubic root of 114355056 is about 485.3836281721.

The spelling of 114355056 in words is "one hundred fourteen million, three hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 353 397 408 706 794 816 1059 1191 1412 1588 2118 2382 2824 3176 4236 4764 5648 6001 6352 6749 8472 9528 12002 13498 16944 18003 19056 20247 24004 26996 36006 40494 48008 53992 72012 80988 96016 107984 140141 144024 161976 280282 288048 323952 420423 560564 840846 1121128 1681692 2242256 2382397 3363384 4764794 6726768 7147191 9529588 14294382 19059176 28588764 38118352 57177528 114355056