Search a number
-
+
2140341504 = 2837398129
BaseRepresentation
bin111111110010011…
…0000010100000000
312112011102121120120
41333210300110000
513340411412004
6552214540240
7104016413460
oct17744602400
95464377516
102140341504
119a9192284
124b8967680
13281573c82
1416438bba0
15c7d853d9
hex7f930500

2140341504 has 72 divisors (see below), whose sum is σ = 6510221760. Its totient is φ = 611524608.

The previous prime is 2140341473. The next prime is 2140341517. The reversal of 2140341504 is 4051430412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 193689 + ... + 204440.

Almost surely, 22140341504 is an apocalyptic number.

2140341504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2140341504 is an abundant number, since it is smaller than the sum of its proper divisors (4369880256).

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

2140341504 is an equidigital number, since it uses as much as digits as its factorization.

2140341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398155 (or 398141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2140341504 is about 46263.8250039920. The cubic root of 2140341504 is about 1288.7272875121.

Adding to 2140341504 its reverse (4051430412), we get a palindrome (6191771916).

The spelling of 2140341504 in words is "two billion, one hundred forty million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 398129 796258 1194387 1592516 2388774 2786903 3185032 4777548 5573806 6370064 8360709 9555096 11147612 12740128 16721418 19110192 22295224 25480256 33442836 38220384 44590448 50960512 66885672 76440768 89180896 101921024 133771344 152881536 178361792 267542688 305763072 356723584 535085376 713447168 1070170752 2140341504