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134198740 = 225134112589
BaseRepresentation
bin1111111111110…
…11010111010100
3100100112000001201
413333323113110
5233323324430
621152202244
73216445654
oct777732724
9310460051
10134198740
116982a555
1238b39384
1321a58950
1413b74364
15bbac8ca
hex7ffb5d4

134198740 has 48 divisors (see below), whose sum is σ = 310922640. Its totient is φ = 48337920.

The previous prime is 134198737. The next prime is 134198749. The reversal of 134198740 is 47891431.

It can be written as a sum of positive squares in 8 ways, for example, as 68459076 + 65739664 = 8274^2 + 8108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134198740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134198749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4366 + ... + 16954.

It is an arithmetic number, because the mean of its divisors is an integer number (6477555).

Almost surely, 2134198740 is an apocalyptic number.

134198740 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 134198740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155461320).

134198740 is an abundant number, since it is smaller than the sum of its proper divisors (176723900).

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

134198740 is a wasteful number, since it uses less digits than its factorization.

134198740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 134198740 is about 11584.4179827905. The cubic root of 134198740 is about 511.9758543708.

The spelling of 134198740 in words is "one hundred thirty-four million, one hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 12589 25178 50356 62945 125890 163657 251780 327314 516149 654628 818285 1032298 1636570 2064596 2580745 3273140 5161490 6709937 10322980 13419874 26839748 33549685 67099370 134198740