Search a number
-
+
746136540 = 223256076829
BaseRepresentation
bin101100011110010…
…010001111011100
31220222222122220200
4230132102033130
53012002332130
6202012143500
724330025122
oct5436221734
91828878820
10746136540
113531a1476
12189a67b90
13bb774116
1471147912
1545787760
hex2c7923dc

746136540 has 72 divisors (see below), whose sum is σ = 2267341440. Its totient is φ = 198612864.

The previous prime is 746136539. The next prime is 746136541. The reversal of 746136540 is 45631647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (746136539) and next prime (746136541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 746136495 and 746136504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746136541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105846 + ... + 112674.

Almost surely, 2746136540 is an apocalyptic number.

It is a pronic number, being equal to 27315×27316.

It is an amenable number.

746136540 is an abundant number, since it is smaller than the sum of its proper divisors (1521204900).

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

746136540 is a wasteful number, since it uses less digits than its factorization.

746136540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7451 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 746136540 is about 27315.4999954238. The cubic root of 746136540 is about 906.9975270876.

The spelling of 746136540 in words is "seven hundred forty-six million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 607 1214 1821 2428 3035 3642 5463 6070 6829 7284 9105 10926 12140 13658 18210 20487 21852 27315 27316 34145 36420 40974 54630 61461 68290 81948 102435 109260 122922 136580 204870 245844 307305 409740 614610 1229220 4145203 8290406 12435609 16580812 20726015 24871218 37306827 41452030 49742436 62178045 74613654 82904060 124356090 149227308 186534135 248712180 373068270 746136540