Search a number
-
+
138465480 = 23357431553
BaseRepresentation
bin10000100000011…
…01000011001000
3100122112202221010
420100031003020
5240421343410
621423443520
73300636306
oct1020150310
9318482833
10138465480
117118418a
123a4565a0
13228c0a4a
1414565276
15c251c20
hex840d0c8

138465480 has 64 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 36850688.

The previous prime is 138465479. The next prime is 138465511. The reversal of 138465480 is 84564831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88384 + ... + 89936.

It is an arithmetic number, because the mean of its divisors is an integer number (6503490).

Almost surely, 2138465480 is an apocalyptic number.

138465480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138465480 is an abundant number, since it is smaller than the sum of its proper divisors (277757880).

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

138465480 is a wasteful number, since it uses less digits than its factorization.

138465480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 138465480 is about 11767.1355902785. The cubic root of 138465480 is about 517.3452967055.

The spelling of 138465480 in words is "one hundred thirty-eight million, four hundred sixty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 1553 2229 2972 3106 3715 4458 4659 5944 6212 7430 7765 8916 9318 11145 12424 14860 15530 17832 18636 22290 23295 29720 31060 37272 44580 46590 62120 89160 93180 186360 1153879 2307758 3461637 4615516 5769395 6923274 9231032 11538790 13846548 17308185 23077580 27693096 34616370 46155160 69232740 138465480