Search a number
-
+
2501254340 = 2251311298521
BaseRepresentation
bin1001010100010110…
…0001110011000100
320110022112212220122
42111011201303010
520110310114330
61052110321112
7115661211464
oct22505416304
96408485818
102501254340
111073990452
125997b9198
1330b27b370
1419a299ba4
15e98c75e5
hex95161cc4

2501254340 has 48 divisors (see below), whose sum is σ = 5662357680. Its totient is φ = 922613760.

The previous prime is 2501254339. The next prime is 2501254351. The reversal of 2501254340 is 434521052.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 615436864 + 1885817476 = 24808^2 + 43426^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 289280 + ... + 297800.

It is an arithmetic number, because the mean of its divisors is an integer number (117965785).

Almost surely, 22501254340 is an apocalyptic number.

2501254340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501254340 is an abundant number, since it is smaller than the sum of its proper divisors (3161103340).

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

2501254340 is a wasteful number, since it uses less digits than its factorization.

2501254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2501254340 is about 50012.5418270257. The cubic root of 2501254340 is about 1357.4357571851.

Adding to 2501254340 its reverse (434521052), we get a palindrome (2935775392).

The spelling of 2501254340 in words is "two billion, five hundred one million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1129 2258 4516 5645 8521 11290 14677 17042 22580 29354 34084 42605 58708 73385 85210 110773 146770 170420 221546 293540 443092 553865 1107730 2215460 9620209 19240418 38480836 48101045 96202090 125062717 192404180 250125434 500250868 625313585 1250627170 2501254340