Search a number
-
+
145848780 = 2232571117619
BaseRepresentation
bin10001011000101…
…11100111001100
3101011102212220200
420230113213030
5244314130110
622250013500
73420460050
oct1054274714
9334385820
10145848780
1175367390
1240a17290
13242a756c
1415527c60
15cc0e6c0
hex8b179cc

145848780 has 288 divisors, whose sum is σ = 584962560. Its totient is φ = 28477440.

The previous prime is 145848757. The next prime is 145848823. The reversal of 145848780 is 87848541.

145848780 is digitally balanced in base 2 and base 3, because in such bases 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235311 + ... + 235929.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2145848780 is an apocalyptic number.

145848780 is a gapful number since it is divisible by the number (10) 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 145848780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

145848780 is an abundant number, since it is smaller than the sum of its proper divisors (439113780).

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

145848780 is a wasteful number, since it uses less digits than its factorization.

145848780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 145848780 is about 12076.7868243171. The cubic root of 145848780 is about 526.3818832822.

The spelling of 145848780 in words is "one hundred forty-five million, eight hundred forty-eight thousand, seven hundred eighty".