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116037648 = 243217107443
BaseRepresentation
bin1101110101010…
…01100000010000
322002100022201200
412322221200100
5214201201043
615303031200
72606206116
oct672514020
9262308650
10116037648
115a555891
1232a3b500
131b06a53c
14115a7ab6
15a2c17d3
hex6ea9810

116037648 has 120 divisors (see below), whose sum is σ = 347843808. Its totient is φ = 35982336.

The previous prime is 116037629. The next prime is 116037653. The reversal of 116037648 is 846730611.

116037648 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 3 + 7 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261715 + ... + 262157.

Almost surely, 2116037648 is an apocalyptic number.

116037648 is a gapful number since it is divisible by the number (18) 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 116037648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173921904).

116037648 is an abundant number, since it is smaller than the sum of its proper divisors (231806160).

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

116037648 is a wasteful number, since it uses less digits than its factorization.

116037648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116037648 is about 10772.0772370049. The cubic root of 116037648 is about 487.7526516812.

The spelling of 116037648 in words is "one hundred sixteen million, thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 107 136 144 153 204 214 272 306 321 408 428 443 612 642 816 856 886 963 1224 1284 1329 1712 1772 1819 1926 2448 2568 2658 3544 3638 3852 3987 5136 5316 5457 7088 7276 7531 7704 7974 10632 10914 14552 15062 15408 15948 16371 21264 21828 22593 29104 30124 31896 32742 43656 45186 47401 60248 63792 65484 67779 87312 90372 94802 120496 130968 135558 142203 180744 189604 261936 271116 284406 361488 379208 426609 542232 568812 758416 805817 853218 1084464 1137624 1611634 1706436 2275248 2417451 3223268 3412872 4834902 6446536 6825744 7252353 9669804 12893072 14504706 19339608 29009412 38679216 58018824 116037648