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2551015420 = 2253143103929
BaseRepresentation
bin1001100000001101…
…0110011111111100
320120210012000021121
42120003112133330
520211024443140
61101045040324
7120134162512
oct23003263774
96523160247
102551015420
111099a88708
125b23b60a4
13318681aa5
141a2b304b2
15ede5664a
hex980d67fc

2551015420 has 96 divisors (see below), whose sum is σ = 5719633920. Its totient is φ = 954132480.

The previous prime is 2551015403. The next prime is 2551015429. The reversal of 2551015420 is 245101552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551015429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745516 + ... + 2746444.

It is an arithmetic number, because the mean of its divisors is an integer number (59579520).

Almost surely, 22551015420 is an apocalyptic number.

2551015420 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 2551015420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859816960).

2551015420 is an abundant number, since it is smaller than the sum of its proper divisors (3168618500).

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

2551015420 is a wasteful number, since it uses less digits than its factorization.

2551015420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2551015420 is about 50507.5778472894. The cubic root of 2551015420 is about 1366.3785256775.

Adding to 2551015420 its reverse (245101552), we get a palindrome (2796116972).

The spelling of 2551015420 in words is "two billion, five hundred fifty-one million, fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 103 124 155 172 206 215 310 412 430 515 620 860 929 1030 1333 1858 2060 2666 3193 3716 4429 4645 5332 6386 6665 8858 9290 12772 13330 15965 17716 18580 22145 26660 28799 31930 39947 44290 57598 63860 79894 88580 95687 115196 137299 143995 159788 191374 199735 274598 287990 382748 399470 478435 549196 575980 686495 798940 956870 1238357 1372990 1913740 2476714 2745980 2966297 4114541 4953428 5932594 6191785 8229082 11865188 12383570 14831485 16458164 20572705 24767140 29662970 41145410 59325940 82290820 127550771 255101542 510203084 637753855 1275507710 2551015420