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240076053 = 32761179349
BaseRepresentation
bin11100100111101…
…00010100010101
3121201202010102200
432103310110111
5442424413203
635453355113
75643420120
oct1623642425
9551663380
10240076053
11113575768
1268498a99
133a979649
1423c553b7
15161239a3
hexe4f4515

240076053 has 48 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 133799040.

The previous prime is 240076013. The next prime is 240076069. The reversal of 240076053 is 350670042.

It is a happy number.

240076053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-240076053 is a prime.

It is a super-2 number, since 2×2400760532 = 115273022448117618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240076013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687723 + ... + 688071.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2240076053 is an apocalyptic number.

It is an amenable number.

240076053 is a deficient number, since it is larger than the sum of its proper divisors (166147947).

240076053 is a wasteful number, since it uses less digits than its factorization.

240076053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 240076053 is about 15494.3877904227. The cubic root of 240076053 is about 621.5121371342.

The spelling of 240076053 in words is "two hundred forty million, seventy-six thousand, fifty-three".

Divisors: 1 3 7 9 21 61 63 179 183 349 427 537 549 1047 1253 1281 1611 2443 3141 3759 3843 7329 10919 11277 21289 21987 32757 62471 63867 76433 98271 149023 187413 191601 229299 437297 447069 562239 687897 1311891 1341207 3810731 3935673 11432193 26675117 34296579 80025351 240076053