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3055200 = 253521967
BaseRepresentation
bin1011101001111001100000
312202012221120
423221321200
51240231300
6145252240
734653201
oct13517140
95665846
103055200
1117a7465
121034080
1382c815
145975a8
154053a0
hex2e9e60

3055200 has 144 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 760320.

The previous prime is 3055187. The next prime is 3055211. The reversal of 3055200 is 25503.

3055200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3055200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45567 + ... + 45633.

It is an arithmetic number, because the mean of its divisors is an integer number (73780).

Almost surely, 23055200 is an apocalyptic number.

3055200 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 3055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3055200 is an abundant number, since it is smaller than the sum of its proper divisors (7569120).

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

3055200 is a wasteful number, since it uses less digits than its factorization.

3055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 3055200 is about 1747.9130413153. The cubic root of 3055200 is about 145.1041661334.

The spelling of 3055200 in words is "three million, fifty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 67 75 76 80 95 96 100 114 120 134 150 152 160 190 200 201 228 240 268 285 300 304 335 380 400 402 456 475 480 536 570 600 608 670 760 800 804 912 950 1005 1072 1140 1200 1273 1340 1425 1520 1608 1675 1824 1900 2010 2144 2280 2400 2546 2680 2850 3040 3216 3350 3800 3819 4020 4560 5025 5092 5360 5700 6365 6432 6700 7600 7638 8040 9120 10050 10184 10720 11400 12730 13400 15200 15276 16080 19095 20100 20368 22800 25460 26800 30552 31825 32160 38190 40200 40736 45600 50920 53600 61104 63650 76380 80400 95475 101840 122208 127300 152760 160800 190950 203680 254600 305520 381900 509200 611040 763800 1018400 1527600 3055200