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117649000 = 235376
BaseRepresentation
bin1110000001100…
…10111001101000
322012101012002101
413000302321220
5220104232000
615401343144
72626000000
oct700627150
9265335071
10117649000
1160456487
1233497ab4
131b4b2ac1
14118a7000
15a4dde6a
hex7032e68

117649000 has 112 divisors (see below), whose sum is σ = 321181380. Its totient is φ = 40336800.

The previous prime is 117648929. The next prime is 117649031. The reversal of 117649000 is 946711.

The cubic root of 117649000 is 490.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 79530724 + 38118276 = 8918^2 + 6174^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 117649000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16806997 + ... + 16807003.

Almost surely, 2117649000 is an apocalyptic number.

117649000 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 117649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160590690).

117649000 is an abundant number, since it is smaller than the sum of its proper divisors (203532380).

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

117649000 is an frugal number, since it uses more digits than its factorization.

117649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 117649000 is about 10846.6123743775.

It can be divided in two parts, 1176 and 49000, that added together give a square (50176 = 2242).

The spelling of 117649000 in words is "one hundred seventeen million, six hundred forty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 343 350 392 490 500 686 700 875 980 1000 1225 1372 1400 1715 1750 1960 2401 2450 2744 3430 3500 4802 4900 6125 6860 7000 8575 9604 9800 12005 12250 13720 16807 17150 19208 24010 24500 33614 34300 42875 48020 49000 60025 67228 68600 84035 85750 96040 117649 120050 134456 168070 171500 235298 240100 300125 336140 343000 420175 470596 480200 588245 600250 672280 840350 941192 1176490 1200500 1680700 2100875 2352980 2401000 2941225 3361400 4201750 4705960 5882450 8403500 11764900 14706125 16807000 23529800 29412250 58824500 117649000