Search a number
-
+
240521064 = 23373146183
BaseRepresentation
bin11100101011000…
…00111101101000
3121202120201212120
432111200331220
5443033133224
635511111240
75650252410
oct1625407550
9552521776
10240521064
1111384a043
1268672520
133aaa4074
1423d2d640
15161b0779
hexe560f68

240521064 has 64 divisors (see below), whose sum is σ = 709386240. Its totient is φ = 66502080.

The previous prime is 240521027. The next prime is 240521069. The reversal of 240521064 is 460125042.

240521064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (240521069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17884 + ... + 28299.

It is an arithmetic number, because the mean of its divisors is an integer number (11084160).

Almost surely, 2240521064 is an apocalyptic number.

240521064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240521064 is an abundant number, since it is smaller than the sum of its proper divisors (468865176).

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

240521064 is a wasteful number, since it uses less digits than its factorization.

240521064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46230 (or 46226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 240521064 is about 15508.7415350182. The cubic root of 240521064 is about 621.8959169383.

The spelling of 240521064 in words is "two hundred forty million, five hundred twenty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 46183 92366 138549 184732 277098 323281 369464 554196 646562 969843 1108392 1293124 1431673 1939686 2586248 2863346 3879372 4295019 5726692 7758744 8590038 10021711 11453384 17180076 20043422 30065133 34360152 40086844 60130266 80173688 120260532 240521064