Search a number
-
+
116707640 = 2357616833
BaseRepresentation
bin1101111010011…
…01000100111000
322010121100210012
412331031010320
5214334121030
615325241052
72614666340
oct675150470
9263540705
10116707640
115a9731a5
1233103188
131b24349a
14116ddd20
15a3a5095
hex6f4d138

116707640 has 64 divisors (see below), whose sum is σ = 305069760. Its totient is φ = 39352320.

The previous prime is 116707639. The next prime is 116707663. The reversal of 116707640 is 46707611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 116707597 and 116707606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13664 + ... + 20496.

It is an arithmetic number, because the mean of its divisors is an integer number (4766715).

Almost surely, 2116707640 is an apocalyptic number.

116707640 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 116707640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534880).

116707640 is an abundant number, since it is smaller than the sum of its proper divisors (188362120).

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

116707640 is a wasteful number, since it uses less digits than its factorization.

116707640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 116707640 is about 10803.1310276234. The cubic root of 116707640 is about 488.6895988308.

The spelling of 116707640 in words is "one hundred sixteen million, seven hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 6833 8540 13666 17080 27332 34165 47831 54664 68330 95662 136660 191324 239155 273320 382648 416813 478310 833626 956620 1667252 1913240 2084065 2917691 3334504 4168130 5835382 8336260 11670764 14588455 16672520 23341528 29176910 58353820 116707640