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133742060 = 225173112689
BaseRepresentation
bin1111111100010…
…11110111101100
3100022122210121122
413332023313230
5233214221220
621134320112
73212534354
oct776136754
9308583548
10133742060
1169548431
1238959038
1321928b1a
1413a95b64
15bb1c425
hex7f8bdec

133742060 has 48 divisors (see below), whose sum is σ = 306996480. Its totient is φ = 48721920.

The previous prime is 133742057. The next prime is 133742107. The reversal of 133742060 is 60247331.

It is a super-2 number, since 2×1337420602 = 35773877226087200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4196 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (6395760).

Almost surely, 2133742060 is an apocalyptic number.

133742060 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 133742060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498240).

133742060 is an abundant number, since it is smaller than the sum of its proper divisors (173254420).

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

133742060 is a wasteful number, since it uses less digits than its factorization.

133742060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 133742060 is about 11564.6902249909. The cubic root of 133742060 is about 511.3944409283.

Adding to 133742060 its reverse (60247331), we get a palindrome (193989391).

The spelling of 133742060 in words is "one hundred thirty-three million, seven hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 12689 25378 50756 63445 126890 215713 253780 393359 431426 786718 862852 1078565 1573436 1966795 2157130 3933590 4314260 6687103 7867180 13374206 26748412 33435515 66871030 133742060