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117121620 = 2235711101251
BaseRepresentation
bin1101111101100…
…10001001010100
322011101101122210
412332302021110
5214440342440
615342153420
72621342310
oct676621124
9264341583
10117121620
1160126230
1233282870
131b359a45
14117aab40
15a437a80
hex6fb2254

117121620 has 192 divisors, whose sum is σ = 414554112. Its totient is φ = 24000000.

The previous prime is 117121601. The next prime is 117121657. The reversal of 117121620 is 26121711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466495 + ... + 466745.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 2117121620 is an apocalyptic number.

117121620 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 117121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

117121620 is an abundant number, since it is smaller than the sum of its proper divisors (297432492).

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

117121620 is a wasteful number, since it uses less digits than its factorization.

117121620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 117121620 is about 10822.2742526698. The cubic root of 117121620 is about 489.2667360969.

Subtracting from 117121620 its reverse (26121711), we obtain a palindrome (90999909).

It can be divided in two parts, 1171 and 21620, that added together give a triangular number (22791 = T213).

The spelling of 117121620 in words is "one hundred seventeen million, one hundred twenty-one thousand, six hundred twenty".