Search a number
-
+
133020020 = 22571317253
BaseRepresentation
bin1111110110110…
…11100101110100
3100021022010011102
413323123211310
5233023120040
621111025232
73203436320
oct773334564
9307263142
10133020020
11690a4a01
123866b218
1321735293
1413948980
15ba28515
hex7edb974

133020020 has 48 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 45252480.

The previous prime is 133020001. The next prime is 133020037. The reversal of 133020020 is 20020331.

It is a junction number, because it is equal to n+sod(n) for n = 133019983 and 133020010.

It is a congruent number.

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, 14714 + ... + 21966.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2133020020 is an apocalyptic number.

133020020 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 133020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

133020020 is an abundant number, since it is smaller than the sum of its proper divisors (188709388).

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

133020020 is a wasteful number, since it uses less digits than its factorization.

133020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 133020020 is about 11533.4305390894. The cubic root of 133020020 is about 510.4724828109.

Adding to 133020020 its reverse (20020331), we get a palindrome (153040351).

The spelling of 133020020 in words is "one hundred thirty-three million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2620 3668 4585 7253 9170 14506 18340 29012 36265 50771 72530 101542 145060 203084 253855 507710 950143 1015420 1900286 3800572 4750715 6651001 9501430 13302002 19002860 26604004 33255005 66510010 133020020