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116505440 = 2553183283
BaseRepresentation
bin1101111000110…
…11101101100000
322010020002102022
412330123231200
5214311133230
615321041012
72613165002
oct674335540
9263202368
10116505440
115a845297
1233026168
131b1a243c
141168a372
15a3651e5
hex6f1bb60

116505440 has 96 divisors (see below), whose sum is σ = 288562176. Its totient is φ = 44398080.

The previous prime is 116505427. The next prime is 116505443. The reversal of 116505440 is 44505611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116505443) 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, 411539 + ... + 411821.

It is an arithmetic number, because the mean of its divisors is an integer number (3005856).

Almost surely, 2116505440 is an apocalyptic number.

116505440 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 116505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281088).

116505440 is an abundant number, since it is smaller than the sum of its proper divisors (172056736).

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

116505440 is a wasteful number, since it uses less digits than its factorization.

116505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 116505440 is about 10793.7685726534. The cubic root of 116505440 is about 488.4072118408.

The spelling of 116505440 in words is "one hundred sixteen million, five hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 83 124 155 160 166 248 283 310 332 415 496 566 620 664 830 992 1132 1240 1328 1415 1660 2264 2480 2573 2656 2830 3320 4528 4960 5146 5660 6640 8773 9056 10292 11320 12865 13280 17546 20584 22640 23489 25730 35092 41168 43865 45280 46978 51460 70184 82336 87730 93956 102920 117445 140368 175460 187912 205840 234890 280736 350920 375824 411680 469780 701840 728159 751648 939560 1403680 1456318 1879120 2912636 3640795 3758240 5825272 7281590 11650544 14563180 23301088 29126360 58252720 116505440