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501161340 = 223559672113
BaseRepresentation
bin11101110111110…
…001110101111100
31021221000122010010
4131313301311330
52011244130330
6121421343220
715263541531
oct3567616574
91257018103
10501161340
1123798aa29
1211ba07b10
137caa0894
144a7b8d88
152dee73b0
hex1ddf1d7c

501161340 has 96 divisors (see below), whose sum is σ = 1449020160. Its totient is φ = 129355776.

The previous prime is 501161333. The next prime is 501161341. The reversal of 501161340 is 43161105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501161341) 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, 236124 + ... + 238236.

It is an arithmetic number, because the mean of its divisors is an integer number (15093960).

Almost surely, 2501161340 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 501161340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724510080).

501161340 is an abundant number, since it is smaller than the sum of its proper divisors (947858820).

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

501161340 is a wasteful number, since it uses less digits than its factorization.

501161340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 501161340 is about 22386.6330652914. The cubic root of 501161340 is about 794.3145549442.

It can be divided in two parts, 501161 and 340, that added together give a triangular number (501501 = T1001).

The spelling of 501161340 in words is "five hundred one million, one hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 67 118 134 177 201 236 268 295 335 354 402 590 670 708 804 885 1005 1180 1340 1770 2010 2113 3540 3953 4020 4226 6339 7906 8452 10565 11859 12678 15812 19765 21130 23718 25356 31695 39530 42260 47436 59295 63390 79060 118590 124667 126780 141571 237180 249334 283142 374001 424713 498668 566284 623335 707855 748002 849426 1246670 1415710 1496004 1698852 1870005 2123565 2493340 2831420 3740010 4247130 7480020 8352689 8494260 16705378 25058067 33410756 41763445 50116134 83526890 100232268 125290335 167053780 250580670 501161340