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117770040 = 233254179101
BaseRepresentation
bin1110000010100…
…00011100111000
322012121100010100
413001100130320
5220122120130
615404115400
72630012613
oct701203470
9265540110
10117770040
1160529413
1233535b60
131b525c1b
14118d917a
15a514c60
hex7050738

117770040 has 192 divisors, whose sum is σ = 400982400. Its totient is φ = 29952000.

The previous prime is 117770039. The next prime is 117770041. The reversal of 117770040 is 40077711.

It is an interprime number because it is at equal distance from previous prime (117770039) and next prime (117770041).

It is a junction number, because it is equal to n+sod(n) for n = 117769986 and 117770013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117770041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165990 + ... + 1166090.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2117770040 is an apocalyptic number.

117770040 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 117770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

117770040 is an abundant number, since it is smaller than the sum of its proper divisors (283212360).

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

117770040 is a wasteful number, since it uses less digits than its factorization.

117770040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 117770040 is about 10852.1905622782. The cubic root of 117770040 is about 490.1679834987.

It can be divided in two parts, 1177 and 70040, that added together give a palindrome (71217).

The spelling of 117770040 in words is "one hundred seventeen million, seven hundred seventy thousand, forty".