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116565000 = 2335419409
BaseRepresentation
bin1101111001010…
…10010000001000
322010100010010020
412330222100020
5214320040000
615322220440
72613533436
oct674522010
9263303106
10116565000
115a886012
1233054720
131b1c3596
14116a3d56
15a377ba0
hex6f2a408

116565000 has 160 divisors (see below), whose sum is σ = 384252000. Its totient is φ = 29376000.

The previous prime is 116564993. The next prime is 116565023. The reversal of 116565000 is 565611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 284796 + ... + 285204.

It is an arithmetic number, because the mean of its divisors is an integer number (2401575).

Almost surely, 2116565000 is an apocalyptic number.

116565000 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 116565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192126000).

116565000 is an abundant number, since it is smaller than the sum of its proper divisors (267687000).

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

116565000 is a wasteful number, since it uses less digits than its factorization.

116565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 116565000 is about 10796.5272194350. The cubic root of 116565000 is about 488.4904256314.

The spelling of 116565000 in words is "one hundred sixteen million, five hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 409 456 475 500 570 600 625 750 760 818 950 1000 1140 1227 1250 1425 1500 1636 1875 1900 2045 2280 2375 2454 2500 2850 3000 3272 3750 3800 4090 4750 4908 5000 5700 6135 7125 7500 7771 8180 9500 9816 10225 11400 11875 12270 14250 15000 15542 16360 19000 20450 23313 23750 24540 28500 30675 31084 35625 38855 40900 46626 47500 49080 51125 57000 61350 62168 71250 77710 81800 93252 95000 102250 116565 122700 142500 153375 155420 186504 194275 204500 233130 245400 255625 285000 306750 310840 388550 409000 466260 511250 582825 613500 766875 777100 932520 971375 1022500 1165650 1227000 1533750 1554200 1942750 2045000 2331300 2914125 3067500 3885500 4662600 4856875 5828250 6135000 7771000 9713750 11656500 14570625 19427500 23313000 29141250 38855000 58282500 116565000