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3056640 = 21035199
BaseRepresentation
bin1011101010010000000000
312202021220220
423222100000
51240303030
6145303040
734660326
oct13522000
95667826
103056640
1117a8554
121034a80
13830382
14597d16
15405a10
hex2ea400

3056640 has 88 divisors (see below), whose sum is σ = 9825600. Its totient is φ = 811008.

The previous prime is 3056639. The next prime is 3056653. The reversal of 3056640 is 466503.

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 3056640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15261 + ... + 15459.

Almost surely, 23056640 is an apocalyptic number.

3056640 is a gapful number since it is divisible by the number (30) 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 3056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912800).

3056640 is an abundant number, since it is smaller than the sum of its proper divisors (6768960).

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

3056640 is a wasteful number, since it uses less digits than its factorization.

3056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3056640 is about 1748.3249125949. The cubic root of 3056640 is about 145.1269597509.

The spelling of 3056640 in words is "three million, fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 256 320 384 398 480 512 597 640 768 796 960 995 1024 1194 1280 1536 1592 1920 1990 2388 2560 2985 3072 3184 3840 3980 4776 5120 5970 6368 7680 7960 9552 11940 12736 15360 15920 19104 23880 25472 31840 38208 47760 50944 63680 76416 95520 101888 127360 152832 191040 203776 254720 305664 382080 509440 611328 764160 1018880 1528320 3056640