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117557440 = 26571113367
BaseRepresentation
bin1110000000111…
…00100011000000
322012012112111021
413000130203000
5220043314230
615355355224
72625136030
oct700344300
9265175437
10117557440
11603a3710
1233452b14
131b480220
14118818c0
15a4c1c7a
hex701c8c0

117557440 has 224 divisors, whose sum is σ = 376879104. Its totient is φ = 33730560.

The previous prime is 117557383. The next prime is 117557449. The reversal of 117557440 is 44755711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 117557396 and 117557405.

It is not an unprimeable number, because it can be changed into a prime (117557449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320137 + ... + 320503.

It is an arithmetic number, because the mean of its divisors is an integer number (1682496).

Almost surely, 2117557440 is an apocalyptic number.

117557440 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 117557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188439552).

117557440 is an abundant number, since it is smaller than the sum of its proper divisors (259321664).

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

117557440 is a wasteful number, since it uses less digits than its factorization.

117557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 117557440 is about 10842.3908802441. The cubic root of 117557440 is about 489.8728533078.

The spelling of 117557440 in words is "one hundred seventeen million, five hundred fifty-seven thousand, four hundred forty".