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117267240 = 23351922707
BaseRepresentation
bin1101111110101…
…01101100101000
322011122210102010
412333111230220
5220010022430
615345235520
72622516666
oct677255450
9264583363
10117267240
1160215682
1233332ba0
131b3ab0cc
1411807c36
15a465cb0
hex6fd5b28

117267240 has 96 divisors (see below), whose sum is σ = 371429280. Its totient is φ = 29614464.

The previous prime is 117267239. The next prime is 117267247. The reversal of 117267240 is 42762711.

It is a Cunningham number, because it is equal to 108292-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 117267198 and 117267207.

It is not an unprimeable number, because it can be changed into a prime (117267247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41967 + ... + 44673.

It is an arithmetic number, because the mean of its divisors is an integer number (3869055).

Almost surely, 2117267240 is an apocalyptic number.

117267240 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 117267240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185714640).

117267240 is an abundant number, since it is smaller than the sum of its proper divisors (254162040).

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

117267240 is a wasteful number, since it uses less digits than its factorization.

117267240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 117267240 is about 10828.9999538277. Note that the first 4 decimals coincide. The cubic root of 117267240 is about 489.4694243077.

The spelling of 117267240 in words is "one hundred seventeen million, two hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2707 2888 3610 4332 5414 5415 7220 8121 8664 10828 10830 13535 14440 16242 21656 21660 27070 32484 40605 43320 51433 54140 64968 81210 102866 108280 154299 162420 205732 257165 308598 324840 411464 514330 617196 771495 977227 1028660 1234392 1542990 1954454 2057320 2931681 3085980 3908908 4886135 5863362 6171960 7817816 9772270 11726724 14658405 19544540 23453448 29316810 39089080 58633620 117267240