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746135140 = 225438310453
BaseRepresentation
bin101100011110010…
…001111001100100
31220222222120222211
4230132101321210
53012002311030
6202012133204
724330021052
oct5436217144
91828876884
10746135140
113531a0413
12189a67204
13bb7735aa
14711471d2
154578712a
hex2c791e64

746135140 has 48 divisors (see below), whose sum is σ = 1622795328. Its totient is φ = 287973504.

The previous prime is 746135123. The next prime is 746135141. The reversal of 746135140 is 41531647.

746135140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (746135141) 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, 66154 + ... + 76606.

It is an arithmetic number, because the mean of its divisors is an integer number (33808236).

Almost surely, 2746135140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811397664).

746135140 is an abundant number, since it is smaller than the sum of its proper divisors (876660188).

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

746135140 is a wasteful number, since it uses less digits than its factorization.

746135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 10586 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 746135140 is about 27315.4743689360. The cubic root of 746135140 is about 906.9969598111.

Adding to 746135140 its reverse (41531647), we get a palindrome (787666787).

The spelling of 746135140 in words is "seven hundred forty-six million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 83 86 166 172 215 332 415 430 830 860 1660 3569 7138 10453 14276 17845 20906 35690 41812 52265 71380 104530 209060 449479 867599 898958 1735198 1797916 2247395 3470396 4337995 4494790 8675990 8989580 17351980 37306757 74613514 149227028 186533785 373067570 746135140