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117311040 = 26325711232
BaseRepresentation
bin1101111111000…
…00011001000000
322011202000111100
412333200121000
5220012423130
615350214400
72623061460
oct677403100
9264660440
10117311040
1160245580
1233354400
131b3c5022
1411819ba0
15a473c60
hex6fe0640

117311040 has 504 divisors, whose sum is σ = 525889728. Its totient is φ = 23316480.

The previous prime is 117311039. The next prime is 117311041. The reversal of 117311040 is 40113711.

It is an interprime number because it is at equal distance from previous prime (117311039) and next prime (117311041).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (117311041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5100469 + ... + 5100491.

It is an arithmetic number, because the mean of its divisors is an integer number (1043432).

Almost surely, 2117311040 is an apocalyptic number.

117311040 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 117311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262944864).

117311040 is an abundant number, since it is smaller than the sum of its proper divisors (408578688).

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

117311040 is a wasteful number, since it uses less digits than its factorization.

117311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 117311040 is about 10831.0221124324. The cubic root of 117311040 is about 489.5303566197.

Adding to 117311040 its reverse (40113711), we get a palindrome (157424751).

The spelling of 117311040 in words is "one hundred seventeen million, three hundred eleven thousand, forty".