Search a number
-
+
133445536 = 257797541
BaseRepresentation
bin1111111010000…
…11011110100000
3100022002201212021
413331003132200
5233130224121
621124111224
73210161020
oct775033640
9308081767
10133445536
1169365674
1238835514
1321853b73
1413a19a80
15baae641
hex7f437a0

133445536 has 48 divisors (see below), whose sum is σ = 304093440. Its totient is φ = 56459520.

The previous prime is 133445509. The next prime is 133445567. The reversal of 133445536 is 635544331.

It is a super-2 number, since 2×1334455362 = 35615422156654592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13926 + ... + 21466.

It is an arithmetic number, because the mean of its divisors is an integer number (6335280).

Almost surely, 2133445536 is an apocalyptic number.

133445536 is a gapful number since it is divisible by the number (16) 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 133445536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152046720).

133445536 is an abundant number, since it is smaller than the sum of its proper divisors (170647904).

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

133445536 is an equidigital number, since it uses as much as digits as its factorization.

133445536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7629 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

The square root of 133445536 is about 11551.8628800726. The cubic root of 133445536 is about 511.0162180200.

Adding to 133445536 its reverse (635544331), we get a palindrome (768989867).

The spelling of 133445536 in words is "one hundred thirty-three million, four hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 7541 8848 15082 17696 30164 52787 60328 105574 120656 211148 241312 422296 595739 844592 1191478 1689184 2382956 4170173 4765912 8340346 9531824 16680692 19063648 33361384 66722768 133445536