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2663040 = 27351973
BaseRepresentation
bin1010001010001010000000
312000022000010
422022022000
51140204130
6133024520
731430652
oct12121200
95008003
102663040
111559866
12a85140
13723183
144d46d2
153790b0
hex28a280

2663040 has 128 divisors (see below), whose sum is σ = 9057600. Its totient is φ = 663552.

The previous prime is 2663039. The next prime is 2663051. The reversal of 2663040 is 403662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2662998 and 2663016.

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, 36444 + ... + 36516.

22663040 is an apocalyptic number.

2663040 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 2663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528800).

2663040 is an abundant number, since it is smaller than the sum of its proper divisors (6394560).

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

2663040 is a wasteful number, since it uses less digits than its factorization.

2663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2663040 is about 1631.8823487004. The cubic root of 2663040 is about 138.6093615943.

The spelling of 2663040 in words is "two million, six hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 73 76 80 95 96 114 120 128 146 152 160 190 192 219 228 240 285 292 304 320 365 380 384 438 456 480 570 584 608 640 730 760 876 912 960 1095 1140 1168 1216 1387 1460 1520 1752 1824 1920 2190 2280 2336 2432 2774 2920 3040 3504 3648 4161 4380 4560 4672 5548 5840 6080 6935 7008 7296 8322 8760 9120 9344 11096 11680 12160 13870 14016 16644 17520 18240 20805 22192 23360 27740 28032 33288 35040 36480 41610 44384 46720 55480 66576 70080 83220 88768 110960 133152 140160 166440 177536 221920 266304 332880 443840 532608 665760 887680 1331520 2663040