Search a number
145716336 = 243243101233
BaseRepresentation
bin10001010111101…
…11010001110000
3101011012011020100
420223313101300
5244300410321
622243112400
73416365653
oct1053672160
9334164210
10145716336
1175286927
1240972700
132425c1ac
14154d189a
15cbd5326
hex8af7470

145716336 has 120 divisors (see below), whose sum is σ = 423227376. Its totient is φ = 46771200.

The previous prime is 145716313. The next prime is 145716349. The reversal of 145716336 is 633617541.

145716336 is a `hidden beast` number, since 14 + 5 + 7 + 1 + 633 + 6 = 666.

145716336 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145716336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625276 + ... + 625508.

Almost surely, 2145716336 is an apocalyptic number.

145716336 is a gapful number since it is divisible by the number (16) 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 145716336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211613688).

145716336 is an abundant number, since it is smaller than the sum of its proper divisors (277511040).

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

145716336 is a wasteful number, since it uses less digits than its factorization.

145716336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 145716336 is about 12071.3021667093. The cubic root of 145716336 is about 526.2225007681. Note that the first 3 decimals are identical.

The spelling of 145716336 in words is "one hundred forty-five million, seven hundred sixteen thousand, three hundred thirty-six".