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712133240 = 235713316311
BaseRepresentation
bin101010011100100…
…100101001111000
31211122000010011012
4222130210221320
52424301230430
6154355253052
723435014130
oct5234445170
91748003135
10712133240
11335a87275
1217a5aa188
13b46c9c20
146a815ac0
15427bc695
hex2a724a78

712133240 has 128 divisors (see below), whose sum is σ = 2035998720. Its totient is φ = 218073600.

The previous prime is 712133203. The next prime is 712133249. The reversal of 712133240 is 42331217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712133249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109685 + ... + 115995.

It is an arithmetic number, because the mean of its divisors is an integer number (15906240).

Almost surely, 2712133240 is an apocalyptic number.

712133240 is a gapful number since it is divisible by the number (70) 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 712133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017999360).

712133240 is an abundant number, since it is smaller than the sum of its proper divisors (1323865480).

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

712133240 is a wasteful number, since it uses less digits than its factorization.

712133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 712133240 is about 26685.8247015152. The cubic root of 712133240 is about 893.0047162642.

Adding to 712133240 its reverse (42331217), we get a palindrome (754464457).

The spelling of 712133240 in words is "seven hundred twelve million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 1085 1240 1612 1736 1820 2015 2170 2821 3224 3640 4030 4340 5642 6311 8060 8680 11284 12622 14105 16120 22568 25244 28210 31555 44177 50488 56420 63110 82043 88354 112840 126220 164086 176708 195641 220885 252440 328172 353416 391282 410215 441770 574301 656344 782564 820430 883540 978205 1148602 1369487 1565128 1640860 1767080 1956410 2297204 2543333 2738974 2871505 3281720 3912820 4594408 5086666 5477948 5743010 6847435 7825640 10173332 10955896 11486020 12716665 13694870 17803331 20346664 22972040 25433330 27389740 35606662 50866660 54779480 71213324 89016655 101733320 142426648 178033310 356066620 712133240