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117775640 = 23523313409
BaseRepresentation
bin1110000010100…
…01110100011000
322012121121210202
413001101310120
5220122310030
615404201332
72630035133
oct701216430
9265547722
10117775640
1160532644
1233539248
131b528638
14118db21a
15a516745
hex7051d18

117775640 has 64 divisors (see below), whose sum is σ = 278078400. Its totient is φ = 44808192.

The previous prime is 117775633. The next prime is 117775687. The reversal of 117775640 is 46577711.

It is a happy number.

It is a super-2 number, since 2×1177756402 = 27742202754819200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117775594 and 117775603.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 287756 + ... + 288164.

It is an arithmetic number, because the mean of its divisors is an integer number (4344975).

Almost surely, 2117775640 is an apocalyptic number.

117775640 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 117775640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139039200).

117775640 is an abundant number, since it is smaller than the sum of its proper divisors (160302760).

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

117775640 is a wasteful number, since it uses less digits than its factorization.

117775640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 117775640 is about 10852.4485716358. The cubic root of 117775640 is about 490.1757525861.

The spelling of 117775640 in words is "one hundred seventeen million, seven hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 313 409 460 626 818 920 1252 1565 1636 2045 2504 3130 3272 4090 6260 7199 8180 9407 12520 14398 16360 18814 28796 35995 37628 47035 57592 71990 75256 94070 128017 143980 188140 256034 287960 376280 512068 640085 1024136 1280170 2560340 2944391 5120680 5888782 11777564 14721955 23555128 29443910 58887820 117775640