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1516140340 = 22511131927901
BaseRepresentation
bin101101001011110…
…0111011100110100
310220122212220112221
41122113213130310
511101112442330
6410240052124
752366660141
oct13227473464
93818786487
101516140340
11708904750
12363904044
131b2153980
141055053c8
158d186b7a
hex5a5e7734

1516140340 has 96 divisors (see below), whose sum is σ = 3937530240. Its totient is φ = 482112000.

The previous prime is 1516140331. The next prime is 1516140349. The reversal of 1516140340 is 430416151.

It is an interprime number because it is at equal distance from previous prime (1516140331) and next prime (1516140349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516140349) 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, 40390 + ... + 68290.

It is an arithmetic number, because the mean of its divisors is an integer number (41015940).

Almost surely, 21516140340 is an apocalyptic number.

1516140340 is a gapful number since it is divisible by the number (10) 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 1516140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968765120).

1516140340 is an abundant number, since it is smaller than the sum of its proper divisors (2421389900).

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

1516140340 is a wasteful number, since it uses less digits than its factorization.

1516140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27953 (or 27951 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1516140340 is about 38937.6468215530. The cubic root of 1516140340 is about 1148.8053984381.

Adding to 1516140340 its reverse (430416151), we get a palindrome (1946556491).

The spelling of 1516140340 in words is "one billion, five hundred sixteen million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 27901 54340 55802 111604 139505 279010 306911 362713 530119 558020 613822 725426 1060238 1227644 1450852 1534555 1813565 2120476 2650595 3069110 3627130 3989843 5301190 5831309 6138220 6891547 7254260 7979686 10602380 11662618 13783094 15959372 19949215 23325236 27566188 29156545 34457735 39898430 58313090 68915470 75807017 79796860 116626180 137830940 151614034 303228068 379035085 758070170 1516140340