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117340720 = 2457317661
BaseRepresentation
bin1101111111001…
…11101000110000
322011210112012121
412333213220300
5220014400340
615351004024
72623244140
oct677475060
9264715177
10117340720
1160265902
1233369614
131b4056a3
1411826920
15a47c94a
hex6fe7a30

117340720 has 80 divisors (see below), whose sum is σ = 313247808. Its totient is φ = 40043520.

The previous prime is 117340703. The next prime is 117340721. The reversal of 117340720 is 27043711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (117340721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177190 + ... + 177850.

Almost surely, 2117340720 is an apocalyptic number.

117340720 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 117340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156623904).

117340720 is an abundant number, since it is smaller than the sum of its proper divisors (195907088).

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

117340720 is a wasteful number, since it uses less digits than its factorization.

117340720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 117340720 is about 10832.3921642452. The cubic root of 117340720 is about 489.5716372921.

The spelling of 117340720 in words is "one hundred seventeen million, three hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 317 560 634 661 1268 1322 1585 2219 2536 2644 3170 3305 4438 4627 5072 5288 6340 6610 8876 9254 10576 11095 12680 13220 17752 18508 22190 23135 25360 26440 35504 37016 44380 46270 52880 74032 88760 92540 177520 185080 209537 370160 419074 838148 1047685 1466759 1676296 2095370 2933518 3352592 4190740 5867036 7333795 8381480 11734072 14667590 16762960 23468144 29335180 58670360 117340720