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116445120 = 26351111027
BaseRepresentation
bin1101111000011…
…00111111000000
322010010000200020
412330030333000
5214302220440
615315453440
72612524101
oct674147700
9263100606
10116445120
115a803a40
1232bb7280
131b180b4c
14116723a8
15a3523d0
hex6f0cfc0

116445120 has 112 divisors (see below), whose sum is σ = 403360128. Its totient is φ = 28226560.

The previous prime is 116445107. The next prime is 116445127. The reversal of 116445120 is 21544611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116445127) 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, 5047 + ... + 16073.

Almost surely, 2116445120 is an apocalyptic number.

116445120 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 116445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201680064).

116445120 is an abundant number, since it is smaller than the sum of its proper divisors (286915008).

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

116445120 is a wasteful number, since it uses less digits than its factorization.

116445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 116445120 is about 10790.9740060849. The cubic root of 116445120 is about 488.3229073114.

Adding to 116445120 its reverse (21544611), we get a palindrome (137989731).

The spelling of 116445120 in words is "one hundred sixteen million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 11027 22054 33081 44108 55135 66162 88216 110270 121297 132324 165405 176432 220540 242594 264648 330810 352864 363891 441080 485188 529296 606485 661620 705728 727782 882160 970376 1058592 1212970 1323240 1455564 1764320 1819455 1940752 2117184 2425940 2646480 2911128 3528640 3638910 3881504 4851880 5292960 5822256 7277820 7763008 9703760 10585920 11644512 14555640 19407520 23289024 29111280 38815040 58222560 116445120