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117437040 = 243557863
BaseRepresentation
bin1101111111111…
…11001001110000
322011222102100000
412333333021300
5220030441130
615353030000
72624125020
oct677771160
9264872300
10117437040
1160321206
12333b5300
131b43a496
141184da80
15a49b260
hex6fff270

117437040 has 240 divisors, whose sum is σ = 467970048. Its totient is φ = 26811648.

The previous prime is 117437039. The next prime is 117437059. The reversal of 117437040 is 40734711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117436995 and 117437013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135649 + ... + 136511.

Almost surely, 2117437040 is an apocalyptic number.

117437040 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 117437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

117437040 is an abundant number, since it is smaller than the sum of its proper divisors (350533008).

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

117437040 is an equidigital number, since it uses as much as digits as its factorization.

117437040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117437040 is about 10836.8371769627. The cubic root of 117437040 is about 489.7055568253.

The spelling of 117437040 in words is "one hundred seventeen million, four hundred thirty-seven thousand, forty".