Search a number
-
+
2502240 = 253513401
BaseRepresentation
bin1001100010111001100000
311201010102120
421202321200
51120032430
6125344240
730161106
oct11427140
94633376
102502240
111459a74
12a08080
13697c20
14491c76
15346610
hex262e60

2502240 has 96 divisors (see below), whose sum is σ = 8509536. Its totient is φ = 614400.

The previous prime is 2502229. The next prime is 2502251. The reversal of 2502240 is 422052.

It is an interprime number because it is at equal distance from previous prime (2502229) and next prime (2502251).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25022402 = 12522410035200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6040 + ... + 6440.

It is an arithmetic number, because the mean of its divisors is an integer number (88641).

22502240 is an apocalyptic number.

2502240 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 2502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254768).

2502240 is an abundant number, since it is smaller than the sum of its proper divisors (6007296).

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

2502240 is a wasteful number, since it uses less digits than its factorization.

2502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2502240 is about 1581.8470216807. The cubic root of 2502240 is about 135.7614040323.

Adding to 2502240 its reverse (422052), we get a palindrome (2924292).

The spelling of 2502240 in words is "two million, five hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 401 416 480 520 624 780 802 1040 1203 1248 1560 1604 2005 2080 2406 3120 3208 4010 4812 5213 6015 6240 6416 8020 9624 10426 12030 12832 15639 16040 19248 20852 24060 26065 31278 32080 38496 41704 48120 52130 62556 64160 78195 83408 96240 104260 125112 156390 166816 192480 208520 250224 312780 417040 500448 625560 834080 1251120 2502240