Search a number
-
+
146870460 = 223251174177
BaseRepresentation
bin10001100000100…
…01000010111100
3101020100210101200
420300101002330
5300044323320
622323535500
73432243522
oct1060210274
9336323350
10146870460
11759a4a50
124122a590
13245745c9
1415712312
15cd62290
hex8c110bc

146870460 has 72 divisors (see below), whose sum is σ = 486014256. Its totient is φ = 35604480.

The previous prime is 146870443. The next prime is 146870483. The reversal of 146870460 is 64078641.

It is a super-2 number, since 2×1468704602 = 43141864041223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 35109 + ... + 39068.

It is an arithmetic number, because the mean of its divisors is an integer number (6750198).

Almost surely, 2146870460 is an apocalyptic number.

146870460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146870460 is an abundant number, since it is smaller than the sum of its proper divisors (339143796).

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

146870460 is a wasteful number, since it uses less digits than its factorization.

146870460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74203 (or 74198 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146870460 is about 12119.0123359950. The cubic root of 146870460 is about 527.6081372757.

The spelling of 146870460 in words is "one hundred forty-six million, eight hundred seventy thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 74177 148354 222531 296708 370885 445062 667593 741770 815947 890124 1112655 1335186 1483540 1631894 2225310 2447841 2670372 3263788 3337965 4079735 4450620 4895682 6675930 7343523 8159470 9791364 12239205 13351860 14687046 16318940 24478410 29374092 36717615 48956820 73435230 146870460