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713505540 = 2235112234273
BaseRepresentation
bin101010100001110…
…011101100000100
31211201120211121010
4222201303230010
52430124134130
6154444522220
723452461036
oct5241635404
91751524533
10713505540
11336834300
1217ab50370
13b4a8a737
146aa91c56
154298e0b0
hex2a873b04

713505540 has 144 divisors (see below), whose sum is σ = 2291958144. Its totient is φ = 165411840.

The previous prime is 713505503. The next prime is 713505547. The reversal of 713505540 is 45505317.

It is a super-2 number, since 2×7135055402 = 1018180311221383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 713505498 and 713505507.

It is not an unprimeable number, because it can be changed into a prime (713505547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164844 + ... + 169116.

It is an arithmetic number, because the mean of its divisors is an integer number (15916376).

Almost surely, 2713505540 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 713505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145979072).

713505540 is an abundant number, since it is smaller than the sum of its proper divisors (1578452604).

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

713505540 is a wasteful number, since it uses less digits than its factorization.

713505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 713505540 is about 26711.5244791457. The cubic root of 713505540 is about 893.5779629421.

The spelling of 713505540 in words is "seven hundred thirteen million, five hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 4273 5060 5566 7260 7590 8349 8546 11132 12819 13915 15180 16698 17092 21365 25638 27830 33396 41745 42730 47003 51276 55660 64095 83490 85460 94006 98279 128190 141009 166980 188012 196558 235015 256380 282018 294837 393116 470030 491395 517033 564036 589674 705045 940060 982790 1034066 1081069 1179348 1410090 1474185 1551099 1965580 2068132 2162138 2585165 2820180 2948370 3102198 3243207 4324276 5170330 5405345 5896740 6204396 6486414 7755495 10340660 10810690 11891759 12972828 15510990 16216035 21621380 23783518 31021980 32432070 35675277 47567036 59458795 64864140 71350554 118917590 142701108 178376385 237835180 356752770 713505540