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2503152340 = 2251319226669
BaseRepresentation
bin1001010100110011…
…0001001011010100
320110110010022110221
42111030301023110
520111301333330
61052215124124
7116013305143
oct22514611324
96413108427
102503152340
111074a67447
1259a373644
1330b794240
1419a63175a
15e9b4eb7a
hex953312d4

2503152340 has 72 divisors (see below), whose sum is σ = 5974826760. Its totient is φ = 875563776.

The previous prime is 2503152287. The next prime is 2503152343. The reversal of 2503152340 is 432513052.

It can be written as a sum of positive squares in 4 ways, for example, as 489117456 + 2014034884 = 22116^2 + 44878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503152343) 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, 80526 + ... + 107194.

It is an arithmetic number, because the mean of its divisors is an integer number (82983705).

Almost surely, 22503152340 is an apocalyptic number.

2503152340 is a gapful number since it is divisible by the number (20) 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 2503152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987413380).

2503152340 is an abundant number, since it is smaller than the sum of its proper divisors (3471674420).

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

2503152340 is a wasteful number, since it uses less digits than its factorization.

2503152340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26729 (or 26708 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2503152340 is about 50031.5134690127. The cubic root of 2503152340 is about 1357.7790198464.

Adding to 2503152340 its reverse (432513052), we get a palindrome (2935665392).

The spelling of 2503152340 in words is "two billion, five hundred three million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 9386 18772 23465 26669 46930 53338 93860 106676 133345 266690 346697 506711 533380 693394 1013422 1386788 1733485 2026844 2533555 3466970 5067110 6587243 6933940 9627509 10134220 13174486 19255018 26348972 32936215 38510036 48137545 65872430 96275090 125157617 131744860 192550180 250315234 500630468 625788085 1251576170 2503152340