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117583872 = 212371367
BaseRepresentation
bin1110000001000…
…11000000000000
322012020212202020
413000203000000
5220100140442
615400121440
72625306060
oct700430000
9265225666
10117583872
116041155a
1233466280
131b48c273
141188b3a0
15a4c99ec
hex7023000

117583872 has 104 divisors (see below), whose sum is σ = 358569216. Its totient is φ = 33570816.

The previous prime is 117583871. The next prime is 117583901. The reversal of 117583872 is 278385711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (117583871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85333 + ... + 86699.

Almost surely, 2117583872 is an apocalyptic number.

117583872 is a gapful number since it is divisible by the number (12) 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 117583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179284608).

117583872 is an abundant number, since it is smaller than the sum of its proper divisors (240985344).

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

117583872 is an equidigital number, since it uses as much as digits as its factorization.

117583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1379 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 117583872 is about 10843.6097310813. The cubic root of 117583872 is about 489.9095654290.

The spelling of 117583872 in words is "one hundred seventeen million, five hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1367 1536 1792 2048 2688 2734 3072 3584 4096 4101 5376 5468 6144 7168 8202 9569 10752 10936 12288 14336 16404 19138 21504 21872 28672 28707 32808 38276 43008 43744 57414 65616 76552 86016 87488 114828 131232 153104 174976 229656 262464 306208 349952 459312 524928 612416 699904 918624 1049856 1224832 1399808 1837248 2099712 2449664 2799616 3674496 4199424 4899328 5599232 7348992 8398848 9798656 14697984 16797696 19597312 29395968 39194624 58791936 117583872