Search a number
-
+
133463460 = 223513397431
BaseRepresentation
bin1111111010001…
…11110110100100
3100022010122110010
413331013312210
5233131312320
621124330220
73210264204
oct775076644
9308118403
10133463460
1169378089
1238843970
132185c080
1413a22404
15bab4ae0
hex7f47da4

133463460 has 96 divisors (see below), whose sum is σ = 404393472. Its totient is φ = 32693760.

The previous prime is 133463453. The next prime is 133463471. The reversal of 133463460 is 64364331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309445 + ... + 309875.

It is an arithmetic number, because the mean of its divisors is an integer number (4212432).

Almost surely, 2133463460 is an apocalyptic number.

133463460 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 133463460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202196736).

133463460 is an abundant number, since it is smaller than the sum of its proper divisors (270930012).

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

133463460 is a wasteful number, since it uses less digits than its factorization.

133463460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 133463460 is about 11552.6386596310. The cubic root of 133463460 is about 511.0390963790.

The spelling of 133463460 in words is "one hundred thirty-three million, four hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 397 431 780 794 862 1191 1293 1588 1724 1985 2155 2382 2586 3970 4310 4764 5161 5172 5603 5955 6465 7940 8620 10322 11206 11910 12930 15483 16809 20644 22412 23820 25805 25860 28015 30966 33618 51610 56030 61932 67236 77415 84045 103220 112060 154830 168090 171107 309660 336180 342214 513321 684428 855535 1026642 1711070 2053284 2224391 2566605 3422140 4448782 5133210 6673173 8897564 10266420 11121955 13346346 22243910 26692692 33365865 44487820 66731730 133463460