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117052000 = 2553132251
BaseRepresentation
bin1101111101000…
…01001001100000
322011020212011021
412332201021200
5214431131000
615340455224
72620632322
oct676411140
9264225137
10117052000
116008899a
123324a514
131b334150
141178d612
15a42211a
hex6fa1260

117052000 has 96 divisors (see below), whose sum is σ = 309857184. Its totient is φ = 43200000.

The previous prime is 117051997. The next prime is 117052051. The reversal of 117052000 is 250711.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50875 + ... + 53125.

It is an arithmetic number, because the mean of its divisors is an integer number (3227679).

Almost surely, 2117052000 is an apocalyptic number.

117052000 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 117052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154928592).

117052000 is an abundant number, since it is smaller than the sum of its proper divisors (192805184).

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

117052000 is a wasteful number, since it uses less digits than its factorization.

117052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 117052000 is about 10819.0572602237. The cubic root of 117052000 is about 489.1697727818.

It can be divided in two parts, 1170 and 52000, that multiplied together give a square (60840000 = 78002).

The spelling of 117052000 in words is "one hundred seventeen million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2251 2600 3250 4000 4502 5200 6500 9004 10400 11255 13000 18008 22510 26000 29263 36016 45020 52000 56275 58526 72032 90040 112550 117052 146315 180080 225100 234104 281375 292630 360160 450200 468208 562750 585260 731575 900400 936416 1125500 1170520 1463150 1800800 2251000 2341040 2926300 3657875 4502000 4682080 5852600 7315750 9004000 11705200 14631500 23410400 29263000 58526000 117052000