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2501340 = 223547887
BaseRepresentation
bin1001100010101011011100
311201002012020
421202223130
51120020330
6125340140
730155352
oct11425334
94632166
102501340
111459326
12a07650
136976aa
144917d2
15346210
hex262adc

2501340 has 48 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 652096.

The previous prime is 2501333. The next prime is 2501347. The reversal of 2501340 is 431052.

2501340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2501333) and next prime (2501347).

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 (2501347) 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 15 ways as a sum of consecutive naturals, for example, 2377 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (149184).

22501340 is an apocalyptic number.

2501340 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 2501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).

2501340 is an abundant number, since it is smaller than the sum of its proper divisors (4659492).

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

2501340 is a wasteful number, since it uses less digits than its factorization.

2501340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2501340 is about 1581.5625185240. The cubic root of 2501340 is about 135.7451252960.

Adding to 2501340 its reverse (431052), we get a palindrome (2932392).

The spelling of 2501340 in words is "two million, five hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 887 940 1410 1774 2661 2820 3548 4435 5322 8870 10644 13305 17740 26610 41689 53220 83378 125067 166756 208445 250134 416890 500268 625335 833780 1250670 2501340