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3054720 = 27353743
BaseRepresentation
bin1011101001110010000000
312202012021210
423221302000
51240222340
6145250120
734651614
oct13516200
95665253
103054720
1117a7069
121033940
1382c536
14597344
15405180
hex2e9c80

3054720 has 128 divisors (see below), whose sum is σ = 10232640. Its totient is φ = 774144.

The previous prime is 3054707. The next prime is 3054721. The reversal of 3054720 is 274503.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3054721) 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, 71019 + ... + 71061.

Almost surely, 23054720 is an apocalyptic number.

3054720 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 3054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116320).

3054720 is an abundant number, since it is smaller than the sum of its proper divisors (7177920).

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

3054720 is a wasteful number, since it uses less digits than its factorization.

3054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3054720 is about 1747.7757293200. The cubic root of 3054720 is about 145.0965666694.

The spelling of 3054720 in words is "three million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 43 48 60 64 74 80 86 96 111 120 128 129 148 160 172 185 192 215 222 240 258 296 320 344 370 384 430 444 480 516 555 592 640 645 688 740 860 888 960 1032 1110 1184 1290 1376 1480 1591 1720 1776 1920 2064 2220 2368 2580 2752 2960 3182 3440 3552 4128 4440 4736 4773 5160 5504 5920 6364 6880 7104 7955 8256 8880 9546 10320 11840 12728 13760 14208 15910 16512 17760 19092 20640 23680 23865 25456 27520 31820 35520 38184 41280 47730 50912 63640 71040 76368 82560 95460 101824 127280 152736 190920 203648 254560 305472 381840 509120 610944 763680 1018240 1527360 3054720