Search a number
-
+
145830480 = 2435607627
BaseRepresentation
bin10001011000100…
…11001001010000
3101011101221210220
420230103021100
5244313033410
622245353040
73420352515
oct1054231120
9334357726
10145830480
1175354664
1240a08780
132429c133
141552130c
15cc09070
hex8b13250

145830480 has 40 divisors (see below), whose sum is σ = 452075232. Its totient is φ = 38888064.

The previous prime is 145830469. The next prime is 145830493. The reversal of 145830480 is 84038541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303574 + ... + 304053.

Almost surely, 2145830480 is an apocalyptic number.

145830480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145830480 is an abundant number, since it is smaller than the sum of its proper divisors (306244752).

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

145830480 is a wasteful number, since it uses less digits than its factorization.

145830480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607643 (or 607637 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 145830480 is about 12076.0291486896. The cubic root of 145830480 is about 526.3598668910.

The spelling of 145830480 in words is "one hundred forty-five million, eight hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607627 1215254 1822881 2430508 3038135 3645762 4861016 6076270 7291524 9114405 9722032 12152540 14583048 18228810 24305080 29166096 36457620 48610160 72915240 145830480