Search a number
-
+
133540020 = 22325799391
BaseRepresentation
bin1111111010110…
…10100010110100
3100022021112110200
413331122202310
5233141240040
621130120500
73211033335
oct775324264
9308245420
10133540020
116941a659
1238880130
1321887b83
1413a4228c
15bacc630
hex7f5a8b4

133540020 has 72 divisors (see below), whose sum is σ = 410242560. Its totient is φ = 35156160.

The previous prime is 133540013. The next prime is 133540031. The reversal of 133540020 is 20045331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133539975 and 133540002.

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, 9525 + ... + 18915.

Almost surely, 2133540020 is an apocalyptic number.

133540020 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 133540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205121280).

133540020 is an abundant number, since it is smaller than the sum of its proper divisors (276702540).

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

133540020 is a wasteful number, since it uses less digits than its factorization.

133540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9485 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133540020 is about 11555.9517132948. The cubic root of 133540020 is about 511.1367952156.

Adding to 133540020 its reverse (20045331), we get a palindrome (153585351).

The spelling of 133540020 in words is "one hundred thirty-three million, five hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 9391 14220 18782 28173 37564 46955 56346 84519 93910 112692 140865 169038 187820 281730 338076 422595 563460 741889 845190 1483778 1690380 2225667 2967556 3709445 4451334 6677001 7418890 8902668 11128335 13354002 14837780 22256670 26708004 33385005 44513340 66770010 133540020