Search a number
-
+
114570900 = 223252127301
BaseRepresentation
bin1101101010000…
…11011010010100
321222120210201200
412311003122110
5213312232100
615211352500
72560556643
oct665033224
9258523650
10114570900
11597438a4
1232452730
131a975a42
141130535a
15a0d1e00
hex6d43694

114570900 has 54 divisors (see below), whose sum is σ = 359118942. Its totient is φ = 30552000.

The previous prime is 114570853. The next prime is 114570923. The reversal of 114570900 is 9075411.

114570900 is a `hidden beast` number, since 1 + 1 + 4 + 570 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5702544 + 108868356 = 2388^2 + 10434^2 .

It is a super-2 number, since 2×1145709002 = 26252982253620000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 62751 + ... + 64550.

Almost surely, 2114570900 is an apocalyptic number.

114570900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114570900 is an abundant number, since it is smaller than the sum of its proper divisors (244548042).

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

114570900 is a wasteful number, since it uses less digits than its factorization.

114570900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127321 (or 127311 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 114570900 is about 10703.7797062533. The cubic root of 114570900 is about 485.6888217825.

The spelling of 114570900 in words is "one hundred fourteen million, five hundred seventy thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 127301 254602 381903 509204 636505 763806 1145709 1273010 1527612 1909515 2291418 2546020 3182525 3819030 4582836 5728545 6365050 7638060 9547575 11457090 12730100 19095150 22914180 28642725 38190300 57285450 114570900