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142361064 = 2335671093
BaseRepresentation
bin10000111110001…
…00000111101000
3100220212200200000
420133010013220
5242421023224
622043143000
73346022556
oct1037040750
9326780600
10142361064
11733a4a7a
123b814a60
1323655c21
1414c9abd6
15c7710c9
hex87c41e8

142361064 has 96 divisors (see below), whose sum is σ = 406180320. Its totient is φ = 46702656.

The previous prime is 142361057. The next prime is 142361069. The reversal of 142361064 is 460163241.

142361064 is a `hidden beast` number, since 1 + 42 + 3 + 610 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142361069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129702 + ... + 130794.

It is an arithmetic number, because the mean of its divisors is an integer number (4231045).

Almost surely, 2142361064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203090160).

142361064 is an abundant number, since it is smaller than the sum of its proper divisors (263819256).

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

142361064 is a wasteful number, since it uses less digits than its factorization.

142361064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142361064 is about 11931.5155785005. The cubic root of 142361064 is about 522.1521554068.

The spelling of 142361064 in words is "one hundred forty-two million, three hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 243 268 324 402 486 536 603 648 804 972 1093 1206 1608 1809 1944 2186 2412 3279 3618 4372 4824 5427 6558 7236 8744 9837 10854 13116 14472 16281 19674 21708 26232 29511 32562 39348 43416 59022 65124 73231 78696 88533 118044 130248 146462 177066 219693 236088 265599 292924 354132 439386 531198 585848 659079 708264 878772 1062396 1318158 1757544 1977237 2124792 2636316 3954474 5272632 5931711 7908948 11863422 15817896 17795133 23726844 35590266 47453688 71180532 142361064