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116551920 = 2435835851
BaseRepresentation
bin1101111001001…
…11000011110000
322010022110011210
412330213003300
5214314130140
615322040120
72613450342
oct674470360
9263273153
10116551920
115a877201
1233049040
131b1ba644
141169d292
15a373d80
hex6f270f0

116551920 has 80 divisors (see below), whose sum is σ = 365726592. Its totient is φ = 30700800.

The previous prime is 116551867. The next prime is 116551921. The reversal of 116551920 is 29155611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116551921) 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, 16995 + ... + 22845.

Almost surely, 2116551920 is an apocalyptic number.

116551920 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 116551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182863296).

116551920 is an abundant number, since it is smaller than the sum of its proper divisors (249174672).

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

116551920 is a wasteful number, since it uses less digits than its factorization.

116551920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 116551920 is about 10795.9214521040. The cubic root of 116551920 is about 488.4721534406.

The spelling of 116551920 in words is "one hundred sixteen million, five hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 5851 6640 9960 11702 17553 19920 23404 29255 35106 46808 58510 70212 87765 93616 117020 140424 175530 234040 280848 351060 468080 485633 702120 971266 1404240 1456899 1942532 2428165 2913798 3885064 4856330 5827596 7284495 7770128 9712660 11655192 14568990 19425320 23310384 29137980 38850640 58275960 116551920