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2551020 = 2235174161
BaseRepresentation
bin1001101110110011101100
311210121100020
421232303230
51123113040
6130402140
730453243
oct11566354
94717306
102551020
11149268a
12a30350
136b41a4
144a595a
15355cd0
hex26ecec

2551020 has 96 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 614400.

The previous prime is 2551013. The next prime is 2551027. The reversal of 2551020 is 201552.

It is an interprime number because it is at equal distance from previous prime (2551013) and next prime (2551027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41790 + ... + 41850.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

22551020 is an apocalyptic number.

2551020 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 2551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2551020 is an abundant number, since it is smaller than the sum of its proper divisors (5323476).

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

2551020 is a wasteful number, since it uses less digits than its factorization.

2551020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2551020 is about 1597.1912847245. The cubic root of 2551020 is about 136.6379343392.

Adding to 2551020 its reverse (201552), we get a palindrome (2752572).

It can be divided in two parts, 255 and 1020, that multiplied together give a square (260100 = 5102).

The spelling of 2551020 in words is "two million, five hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 61 68 82 85 102 122 123 164 170 183 204 205 244 246 255 305 340 366 410 492 510 610 615 697 732 820 915 1020 1037 1220 1230 1394 1830 2074 2091 2460 2501 2788 3111 3485 3660 4148 4182 5002 5185 6222 6970 7503 8364 10004 10370 10455 12444 12505 13940 15006 15555 20740 20910 25010 30012 31110 37515 41820 42517 50020 62220 75030 85034 127551 150060 170068 212585 255102 425170 510204 637755 850340 1275510 2551020