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117453840 = 24357151463
BaseRepresentation
bin1110000000000…
…11010000010000
322012000021101020
413000003100100
5220032010330
615353235440
72624225010
oct700032020
9265007336
10117453840
1160332899
1233402b80
131b44501a
1411855c40
15a4a1210
hex7003410

117453840 has 160 divisors (see below), whose sum is σ = 419782656. Its totient is φ = 26611200.

The previous prime is 117453829. The next prime is 117453841. The reversal of 117453840 is 48354711.

It is not an unprimeable number, because it can be changed into a prime (117453841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253449 + ... + 253911.

Almost surely, 2117453840 is an apocalyptic number.

117453840 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 117453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209891328).

117453840 is an abundant number, since it is smaller than the sum of its proper divisors (302328816).

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

117453840 is a wasteful number, since it uses less digits than its factorization.

117453840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 117453840 is about 10837.6122831554. The cubic root of 117453840 is about 489.7289073828.

The spelling of 117453840 in words is "one hundred seventeen million, four hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 151 168 210 240 280 302 336 420 453 463 560 604 755 840 906 926 1057 1208 1389 1510 1680 1812 1852 2114 2265 2315 2416 2778 3020 3171 3241 3624 3704 4228 4530 4630 5285 5556 6040 6342 6482 6945 7248 7408 8456 9060 9260 9723 10570 11112 12080 12684 12964 13890 15855 16205 16912 18120 18520 19446 21140 22224 25368 25928 27780 31710 32410 36240 37040 38892 42280 48615 50736 51856 55560 63420 64820 69913 77784 84560 97230 111120 126840 129640 139826 155568 194460 209739 253680 259280 279652 349565 388920 419478 489391 559304 699130 777840 838956 978782 1048695 1118608 1398260 1468173 1677912 1957564 2097390 2446955 2796520 2936346 3355824 3915128 4194780 4893910 5593040 5872692 7340865 7830256 8389560 9787820 11745384 14681730 16779120 19575640 23490768 29363460 39151280 58726920 117453840