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117003852 = 22347232243
BaseRepresentation
bin1101111100101…
…01011001001100
322011011102010000
412332111121030
5214423110402
615335444300
72620342050
oct676253114
9264142100
10117003852
11600557a9
1233226690
131b318264
1411779c60
15a412c1c
hex6f9564c

117003852 has 120 divisors (see below), whose sum is σ = 364928256. Its totient is φ = 31961952.

The previous prime is 117003839. The next prime is 117003853. The reversal of 117003852 is 258300711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117003853) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51043 + ... + 53285.

Almost surely, 2117003852 is an apocalyptic number.

117003852 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 117003852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182464128).

117003852 is an abundant number, since it is smaller than the sum of its proper divisors (247924404).

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

117003852 is a wasteful number, since it uses less digits than its factorization.

117003852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117003852 is about 10816.8318836894. The cubic root of 117003852 is about 489.1026921216.

It can be divided in two parts, 117003 and 852, that added together give a triangular number (117855 = T485).

The spelling of 117003852 in words is "one hundred seventeen million, three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 1134 1242 1449 1863 1932 2243 2268 2484 2898 3726 4347 4486 5796 6729 7452 8694 8972 13041 13458 15701 17388 20187 26082 26916 31402 40374 47103 51589 52164 60561 62804 80748 94206 103178 121122 141309 154767 181683 188412 206356 242244 282618 309534 361123 363366 423927 464301 565236 619068 722246 726732 847854 928602 1083369 1271781 1392903 1444492 1695708 1857204 2166738 2543562 2785806 3250107 4178709 4333476 5087124 5571612 6500214 8357418 9750321 13000428 16714836 19500642 29250963 39001284 58501926 117003852