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116650440 = 233251731873
BaseRepresentation
bin1101111001111…
…11000111001000
322010111110022200
412330333013020
5214330303230
615324120200
72614340514
oct674770710
9263443280
10116650440
115a934225
1233096060
131b22343a
14116c7144
15a393160
hex6f3f1c8

116650440 has 96 divisors (see below), whose sum is σ = 381508920. Its totient is φ = 30910464.

The previous prime is 116650439. The next prime is 116650459. The reversal of 116650440 is 44056611.

116650440 is a `hidden beast` number, since 1 + 1 + 6 + 650 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86378436 + 30272004 = 9294^2 + 5502^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61344 + ... + 63216.

Almost surely, 2116650440 is an apocalyptic number.

116650440 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 116650440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190754460).

116650440 is an abundant number, since it is smaller than the sum of its proper divisors (264858480).

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

116650440 is a wasteful number, since it uses less digits than its factorization.

116650440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 116650440 is about 10800.4833225185. The cubic root of 116650440 is about 488.6097479801.

The spelling of 116650440 in words is "one hundred sixteen million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 1873 2076 2595 3114 3460 3746 4152 5190 5619 6228 6920 7492 7785 9365 10380 11238 12456 14984 15570 16857 18730 20760 22476 28095 31140 33714 37460 44952 56190 62280 67428 74920 84285 112380 134856 168570 224760 324029 337140 648058 674280 972087 1296116 1620145 1944174 2592232 2916261 3240290 3888348 4860435 5832522 6480580 7776696 9720870 11665044 12961160 14581305 19441740 23330088 29162610 38883480 58325220 116650440