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114062500 = 225873
BaseRepresentation
bin1101100110001…
…11010010100100
321221121222100001
412303013102210
5213200000000
615152431044
72553341506
oct663072244
9257558301
10114062500
1159426932
1232248484
131a828506
1411211d76
15a03146a
hex6cc74a4

114062500 has 54 divisors (see below), whose sum is σ = 252929558. Its totient is φ = 45000000.

The previous prime is 114062477. The next prime is 114062513. The reversal of 114062500 is 5260411.

It can be written as a sum of positive squares in 9 ways, for example, as 41165056 + 72897444 = 6416^2 + 8538^2 .

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 17 ways as a sum of consecutive naturals, for example, 1562464 + ... + 1562536.

Almost surely, 2114062500 is an apocalyptic number.

114062500 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 114062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126464779).

114062500 is an abundant number, since it is smaller than the sum of its proper divisors (138867058).

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

114062500 is an frugal number, since it uses more digits than its factorization.

114062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 114062500 is about 10680.0046816469. The cubic root of 114062500 is about 484.9693536451.

The spelling of 114062500 in words is "one hundred fourteen million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 625 730 1250 1460 1825 2500 3125 3650 6250 7300 9125 12500 15625 18250 31250 36500 45625 62500 78125 91250 156250 182500 228125 312500 390625 456250 781250 912500 1140625 1562500 2281250 4562500 5703125 11406250 22812500 28515625 57031250 114062500