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2425560 = 2335172941
BaseRepresentation
bin1001010000001011011000
311120020020120
421100023120
51110104220
6123553240
726421414
oct11201330
94506216
102425560
1114073a5
1298b820
1366c057
14471d44
1532da40
hex2502d8

2425560 has 128 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 573440.

The previous prime is 2425541. The next prime is 2425567. The reversal of 2425560 is 655242.

2425560 = T96 + T97 + ... + T248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2425560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59140 + ... + 59180.

22425560 is an apocalyptic number.

2425560 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 2425560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2425560 is an abundant number, since it is smaller than the sum of its proper divisors (5739240).

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

2425560 is a wasteful number, since it uses less digits than its factorization.

2425560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2425560 is about 1557.4209450242. The cubic root of 2425560 is about 134.3602100181.

The spelling of 2425560 in words is "two million, four hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 41 51 58 60 68 82 85 87 102 116 120 123 136 145 164 170 174 204 205 232 246 255 290 328 340 348 408 410 435 492 493 510 580 615 680 696 697 820 870 984 986 1020 1160 1189 1230 1394 1479 1640 1740 1972 2040 2091 2378 2460 2465 2788 2958 3480 3485 3567 3944 4182 4756 4920 4930 5576 5916 5945 6970 7134 7395 8364 9512 9860 10455 11832 11890 13940 14268 14790 16728 17835 19720 20213 20910 23780 27880 28536 29580 35670 40426 41820 47560 59160 60639 71340 80852 83640 101065 121278 142680 161704 202130 242556 303195 404260 485112 606390 808520 1212780 2425560