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145678968 = 233216312413
BaseRepresentation
bin10001010111011…
…10001001111000
3101011010020222100
420223232021320
5244243211333
622242223400
73416152011
oct1053561170
9334106870
10145678968
1175260846
1240954b60
1324248196
14154c2008
15cbc9213
hex8aee278

145678968 has 48 divisors (see below), whose sum is σ = 396999720. Its totient is φ = 48257856.

The previous prime is 145678963. The next prime is 145678979. The reversal of 145678968 is 869876541.

145678968 is a `hidden beast` number, since 14 + 567 + 8 + 9 + 68 = 666.

145678968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145678963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5530 + ... + 17942.

Almost surely, 2145678968 is an apocalyptic number.

145678968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145678968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198499860).

145678968 is an abundant number, since it is smaller than the sum of its proper divisors (251320752).

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

145678968 is a wasteful number, since it uses less digits than its factorization.

145678968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12581 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 145678968 is about 12069.7542642756. The cubic root of 145678968 is about 526.1775148179.

The spelling of 145678968 in words is "one hundred forty-five million, six hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11736 12413 24826 37239 49652 74478 99304 111717 148956 223434 297912 446868 893736 2023319 4046638 6069957 8093276 12139914 16186552 18209871 24279828 36419742 48559656 72839484 145678968