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114627000 = 23353192011
BaseRepresentation
bin1101101010100…
…01000110111000
321222200122200110
412311101012320
5213321031000
615212504320
72561212335
oct665210670
9258618613
10114627000
1159781a64
123247b0a0
131a995437
141131b98c
15a0e3850
hex6d511b8

114627000 has 128 divisors (see below), whose sum is σ = 376646400. Its totient is φ = 28944000.

The previous prime is 114626989. The next prime is 114627059. The reversal of 114627000 is 726411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55995 + ... + 58005.

It is an arithmetic number, because the mean of its divisors is an integer number (2942550).

Almost surely, 2114627000 is an apocalyptic number.

114627000 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 114627000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188323200).

114627000 is an abundant number, since it is smaller than the sum of its proper divisors (262019400).

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

114627000 is a wasteful number, since it uses less digits than its factorization.

114627000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114627000 is about 10706.3999551670. The cubic root of 114627000 is about 485.7680818649.

The spelling of 114627000 in words is "one hundred fourteen million, six hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2011 2280 2375 2850 3000 3800 4022 4750 5700 6033 7125 8044 9500 10055 11400 12066 14250 16088 19000 20110 24132 28500 30165 38209 40220 48264 50275 57000 60330 76418 80440 100550 114627 120660 150825 152836 191045 201100 229254 241320 251375 301650 305672 382090 402200 458508 502750 573135 603300 754125 764180 917016 955225 1005500 1146270 1206600 1508250 1528360 1910450 2011000 2292540 2865675 3016500 3820900 4585080 4776125 5731350 6033000 7641800 9552250 11462700 14328375 19104500 22925400 28656750 38209000 57313500 114627000