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142302264 = 23313617477
BaseRepresentation
bin10000111101101…
…01110000111000
3100220202201000020
420132311300320
5242412133024
622042010440
73345356256
oct1036656070
9326681006
10142302264
1173364885
123b7a6a20
1323635230
1414c835d6
15c75d979
hex87b5c38

142302264 has 64 divisors (see below), whose sum is σ = 389454240. Its totient is φ = 43061760.

The previous prime is 142302263. The next prime is 142302283. The reversal of 142302264 is 462203241.

142302264 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142302263) 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, 15294 + ... + 22770.

Almost surely, 2142302264 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 142302264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194727120).

142302264 is an abundant number, since it is smaller than the sum of its proper divisors (247151976).

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

142302264 is a wasteful number, since it uses less digits than its factorization.

142302264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 142302264 is about 11929.0512615212. The cubic root of 142302264 is about 522.0802565933.

The spelling of 142302264 in words is "one hundred forty-two million, three hundred two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 7477 9516 14954 19032 22431 29908 44862 59816 89724 97201 179448 194402 291603 388804 456097 583206 777608 912194 1166412 1368291 1824388 2332824 2736582 3648776 5473164 5929261 10946328 11858522 17787783 23717044 35575566 47434088 71151132 142302264