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117214720 = 295731211
BaseRepresentation
bin1101111110010…
…00111000000000
322011120010100221
412333020320000
5220001332340
615344152424
72622210610
oct677107000
9264503327
10117214720
116018a177
1233308714
131b39022c
14117d2a40
15a45544a
hex6fc8e00

117214720 has 160 divisors (see below), whose sum is σ = 333121536. Its totient is φ = 38707200.

The previous prime is 117214697. The next prime is 117214729. The reversal of 117214720 is 27412711.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117214729) 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, 555415 + ... + 555625.

Almost surely, 2117214720 is an apocalyptic number.

117214720 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 117214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166560768).

117214720 is an abundant number, since it is smaller than the sum of its proper divisors (215906816).

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

117214720 is an equidigital number, since it uses as much as digits as its factorization.

117214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 117214720 is about 10826.5747122532. The cubic root of 117214720 is about 489.3963411719.

The spelling of 117214720 in words is "one hundred seventeen million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 211 217 224 248 256 280 310 320 422 434 448 496 512 560 620 640 844 868 896 992 1055 1085 1120 1240 1280 1477 1688 1736 1792 1984 2110 2170 2240 2480 2560 2954 3376 3472 3584 3968 4220 4340 4480 4960 5908 6541 6752 6944 7385 7936 8440 8680 8960 9920 11816 13082 13504 13888 14770 15872 16880 17360 17920 19840 23632 26164 27008 27776 29540 32705 33760 34720 39680 45787 47264 52328 54016 55552 59080 65410 67520 69440 79360 91574 94528 104656 108032 111104 118160 130820 135040 138880 183148 189056 209312 228935 236320 261640 270080 277760 366296 378112 418624 457870 472640 523280 540160 555520 732592 756224 837248 915740 945280 1046560 1465184 1674496 1831480 1890560 2093120 2930368 3348992 3662960 3781120 4186240 5860736 7325920 8372480 11721472 14651840 16744960 23442944 29303680 58607360 117214720