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114072570 = 2335647653
BaseRepresentation
bin1101100110010…
…01101111111010
321221122111011000
412303021233322
5213200310240
615152545430
72553413043
oct663115772
9257574130
10114072570
1159433457
1232252276
131a82cc81
14112158ca
15a034430
hex6cc9bfa

114072570 has 64 divisors (see below), whose sum is σ = 305130240. Its totient is φ = 30325824.

The previous prime is 114072527. The next prime is 114072641. The reversal of 114072570 is 75270411.

114072570 is a `hidden beast` number, since 1 + 1 + 407 + 257 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174364 + ... + 175016.

It is an arithmetic number, because the mean of its divisors is an integer number (4767660).

Almost surely, 2114072570 is an apocalyptic number.

114072570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114072570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152565120).

114072570 is an abundant number, since it is smaller than the sum of its proper divisors (191057670).

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

114072570 is a wasteful number, since it uses less digits than its factorization.

114072570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 114072570 is about 10680.4761129830. The cubic root of 114072570 is about 484.9836250538.

The spelling of 114072570 in words is "one hundred fourteen million, seventy-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 647 653 1294 1306 1941 1959 3235 3265 3882 3918 5823 5877 6470 6530 9705 9795 11646 11754 17469 17631 19410 19590 29115 29385 34938 35262 58230 58770 87345 88155 174690 176310 422491 844982 1267473 2112455 2534946 3802419 4224910 6337365 7604838 11407257 12674730 19012095 22814514 38024190 57036285 114072570