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2505270 = 23537261
BaseRepresentation
bin1001100011101000110110
311201021120210
421203220312
51120132040
6125410250
730202665
oct11435066
94637523
102505270
111461279
12a09986
13699411
14492ddc
15347480
hex263a36

2505270 has 48 divisors (see below), whose sum is σ = 6280848. Its totient is φ = 639360.

The previous prime is 2505263. The next prime is 2505271. The reversal of 2505270 is 725052.

2505270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41040 + ... + 41100.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

22505270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140424).

2505270 is an abundant number, since it is smaller than the sum of its proper divisors (3775578).

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

2505270 is a wasteful number, since it uses less digits than its factorization.

2505270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2505270 is about 1582.8044730794. The cubic root of 2505270 is about 135.8161804362.

It can be divided in two parts, 2505 and 270, that added together give a triangular number (2775 = T74).

The spelling of 2505270 in words is "two million, five hundred five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 183 185 222 305 366 370 555 610 915 1110 1369 1830 2257 2738 4107 4514 6771 6845 8214 11285 13542 13690 20535 22570 33855 41070 67710 83509 167018 250527 417545 501054 835090 1252635 2505270