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2523990 = 2357217101
BaseRepresentation
bin1001101000001101010110
311202020021010
421220031112
51121231430
6130033050
730311400
oct11501526
94666233
102523990
111474347
12a18786
136a4ab1
14499b70
1534ccb0
hex268356

2523990 has 96 divisors (see below), whose sum is σ = 7534944. Its totient is φ = 537600.

The previous prime is 2523967. The next prime is 2523991. The reversal of 2523990 is 993252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 24 + 58 + 210 + 313 + 94 + 96 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24940 + ... + 25040.

It is an arithmetic number, because the mean of its divisors is an integer number (78489).

22523990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767472).

2523990 is an abundant number, since it is smaller than the sum of its proper divisors (5010954).

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

2523990 is a wasteful number, since it uses less digits than its factorization.

2523990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2523990 is about 1588.7070214486. The cubic root of 2523990 is about 136.1536254192.

The spelling of 2523990 in words is "two million, five hundred twenty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 101 102 105 119 147 170 202 210 238 245 255 294 303 357 490 505 510 595 606 707 714 735 833 1010 1190 1414 1470 1515 1666 1717 1785 2121 2499 3030 3434 3535 3570 4165 4242 4949 4998 5151 7070 8330 8585 9898 10302 10605 12019 12495 14847 17170 21210 24038 24745 24990 25755 29694 36057 49490 51510 60095 72114 74235 84133 120190 148470 168266 180285 252399 360570 420665 504798 841330 1261995 2523990