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117059600 = 2452797431
BaseRepresentation
bin1101111101000…
…11000000010000
322011021020120202
412332203000100
5214431401400
615340554332
72620663430
oct676430020
9264236522
10117059600
1160093679
12332529a8
131b337748
14117922c0
15a4244d5
hex6fa3010

117059600 has 120 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 39628800.

The previous prime is 117059557. The next prime is 117059609. The reversal of 117059600 is 6950711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (117059609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271385 + ... + 271815.

Almost surely, 2117059600 is an apocalyptic number.

117059600 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 117059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

117059600 is an abundant number, since it is smaller than the sum of its proper divisors (208419568).

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

117059600 is a wasteful number, since it uses less digits than its factorization.

117059600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 117059600 is about 10819.4084866041. The cubic root of 117059600 is about 489.1803595575.

The spelling of 117059600 in words is "one hundred seventeen million, fifty-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 97 100 112 140 175 194 200 280 350 388 400 431 485 560 679 700 776 862 970 1358 1400 1552 1724 1940 2155 2425 2716 2800 3017 3395 3448 3880 4310 4850 5432 6034 6790 6896 7760 8620 9700 10775 10864 12068 13580 15085 16975 17240 19400 21550 24136 27160 30170 33950 34480 38800 41807 43100 48272 54320 60340 67900 75425 83614 86200 120680 135800 150850 167228 172400 209035 241360 271600 292649 301700 334456 418070 585298 603400 668912 836140 1045175 1170596 1206800 1463245 1672280 2090350 2341192 2926490 3344560 4180700 4682384 5852980 7316225 8361400 11705960 14632450 16722800 23411920 29264900 58529800 117059600