Search a number
-
+
20151412240 = 245595717477
BaseRepresentation
bin10010110001000111…
…100010011000010000
31221000101102210210111
4102301013202120100
5312232230142430
613131334411104
71312241115001
oct226107423020
957011383714
1020151412240
118600a46303
123aa4800a94
131b91b7c58b
14d9245b1a8
157ce1c8c2a
hex4b11e2610

20151412240 has 80 divisors (see below), whose sum is σ = 47735962560. Its totient is φ = 7909009920.

The previous prime is 20151412201. The next prime is 20151412277. The reversal of 20151412240 is 4221415102.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2691382 + ... + 2698858.

It is an arithmetic number, because the mean of its divisors is an integer number (596699532).

Almost surely, 220151412240 is an apocalyptic number.

20151412240 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 20151412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23867981280).

20151412240 is an abundant number, since it is smaller than the sum of its proper divisors (27584550320).

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

20151412240 is a wasteful number, since it uses less digits than its factorization.

20151412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8114 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 20151412240 its reverse (4221415102), we get a palindrome (24372827342).

The spelling of 20151412240 in words is "twenty billion, one hundred fifty-one million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 571 590 944 1142 1180 2284 2360 2855 4568 4720 5710 7477 9136 11420 14954 22840 29908 33689 37385 45680 59816 67378 74770 119632 134756 149540 168445 269512 299080 336890 441143 539024 598160 673780 882286 1347560 1764572 2205715 2695120 3529144 4269367 4411430 7058288 8538734 8822860 17077468 17645720 21346835 34154936 35291440 42693670 68309872 85387340 170774680 251892653 341549360 503785306 1007570612 1259463265 2015141224 2518926530 4030282448 5037853060 10075706120 20151412240