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114066240 = 2635118819
BaseRepresentation
bin1101100110010…
…00001101000000
321221122011110120
412303020031000
5213200104430
615152500240
72553355431
oct663101500
9257564416
10114066240
1159429722
123224a680
131a82a122
1411213488
15a032610
hex6cc8340

114066240 has 56 divisors (see below), whose sum is σ = 362163360. Its totient is φ = 30417408.

The previous prime is 114066191. The next prime is 114066289. The reversal of 114066240 is 42660411.

It is an interprime number because it is at equal distance from previous prime (114066191) and next prime (114066289).

It is a super-2 number, since 2×1140662402 = 26022214215475200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114066240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58450 + ... + 60369.

Almost surely, 2114066240 is an apocalyptic number.

114066240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114066240 is an abundant number, since it is smaller than the sum of its proper divisors (248097120).

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

114066240 is a wasteful number, since it uses less digits than its factorization.

114066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118839 (or 118829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114066240 is about 10680.1797737679. The cubic root of 114066240 is about 484.9746541472.

The spelling of 114066240 in words is "one hundred fourteen million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 118819 237638 356457 475276 594095 712914 950552 1188190 1425828 1782285 1901104 2376380 2851656 3564570 3802208 4752760 5703312 7129140 7604416 9505520 11406624 14258280 19011040 22813248 28516560 38022080 57033120 114066240