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2450240 = 265131931
BaseRepresentation
bin1001010110001101000000
311121111002122
421112031000
51111401430
6124303412
726553362
oct11261500
94544078
102450240
1114239a1
129a1b68
1367a360
1447ad32
15335ee5
hex256340

2450240 has 112 divisors (see below), whose sum is σ = 6827520. Its totient is φ = 829440.

The previous prime is 2450219. The next prime is 2450249. The reversal of 2450240 is 420542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79025 + ... + 79055.

It is an arithmetic number, because the mean of its divisors is an integer number (60960).

22450240 is an apocalyptic number.

2450240 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 2450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760).

2450240 is an abundant number, since it is smaller than the sum of its proper divisors (4377280).

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

2450240 is a wasteful number, since it uses less digits than its factorization.

2450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2450240 is about 1565.3242475602. The cubic root of 2450240 is about 134.8143768034.

Adding to 2450240 its reverse (420542), we get a palindrome (2870782).

It can be divided in two parts, 24502 and 40, that added together give a palindrome (24542).

The spelling of 2450240 in words is "two million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 31 32 38 40 52 62 64 65 76 80 95 104 124 130 152 155 160 190 208 247 248 260 304 310 320 380 403 416 494 496 520 589 608 620 760 806 832 988 992 1040 1178 1216 1235 1240 1520 1612 1976 1984 2015 2080 2356 2470 2480 2945 3040 3224 3952 4030 4160 4712 4940 4960 5890 6080 6448 7657 7904 8060 9424 9880 9920 11780 12896 15314 15808 16120 18848 19760 23560 25792 30628 32240 37696 38285 39520 47120 61256 64480 76570 79040 94240 122512 128960 153140 188480 245024 306280 490048 612560 1225120 2450240