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116774040 = 23353133109
BaseRepresentation
bin1101111010111…
…01010010011000
322010201201212110
412331131102120
5214343232130
615330512320
72615364045
oct675352230
9263651773
10116774040
115aa09079
12331356a0
131b267786
141171a1cc
15a3b9ab0
hex6f5d498

116774040 has 64 divisors (see below), whose sum is σ = 351554400. Its totient is φ = 31030272.

The previous prime is 116774029. The next prime is 116774041. The reversal of 116774040 is 40477611.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 116773989 and 116774007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116774041) 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, 36006 + ... + 39114.

Almost surely, 2116774040 is an apocalyptic number.

116774040 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 116774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175777200).

116774040 is an abundant number, since it is smaller than the sum of its proper divisors (234780360).

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

116774040 is a wasteful number, since it uses less digits than its factorization.

116774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 116774040 is about 10806.2037737588. The cubic root of 116774040 is about 488.7822601094.

The spelling of 116774040 in words is "one hundred sixteen million, seven hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3109 3130 3756 4695 6218 6260 7512 9327 9390 12436 12520 15545 18654 18780 24872 31090 37308 37560 46635 62180 74616 93270 124360 186540 373080 973117 1946234 2919351 3892468 4865585 5838702 7784936 9731170 11677404 14596755 19462340 23354808 29193510 38924680 58387020 116774040