Search a number
-
+
117537740 = 225311011877
BaseRepresentation
bin1110000000101…
…11101111001100
322012011112110122
413000113233030
5220042201430
615355124112
72625024425
oct700275714
9265145418
10117537740
116038a931
1233443638
131b474278
141187864c
15a4baee5
hex7017bcc

117537740 has 48 divisors (see below), whose sum is σ = 257451264. Its totient is φ = 45024000.

The previous prime is 117537737. The next prime is 117537767. The reversal of 117537740 is 47735711.

It is a self number, because there is not a number n which added to its sum of digits gives 117537740.

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, 61682 + ... + 63558.

It is an arithmetic number, because the mean of its divisors is an integer number (5363568).

Almost surely, 2117537740 is an apocalyptic number.

117537740 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 117537740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128725632).

117537740 is an abundant number, since it is smaller than the sum of its proper divisors (139913524).

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

117537740 is a wasteful number, since it uses less digits than its factorization.

117537740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 117537740 is about 10841.4823709675. The cubic root of 117537740 is about 489.8454878647.

The spelling of 117537740 in words is "one hundred seventeen million, five hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 1877 2020 3131 3754 6262 7508 9385 12524 15655 18770 31310 37540 58187 62620 116374 189577 232748 290935 379154 581870 758308 947885 1163740 1895770 3791540 5876887 11753774 23507548 29384435 58768870 117537740