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28212240 = 2435722399
BaseRepresentation
bin110101110011…
…1110000010000
31222002022220210
41223213300100
524210242430
62444404120
7461541300
oct153476020
958068823
1028212240
1114a1a301
129546640
135aca344
143a65600
1527242b0
hex1ae7c10

28212240 has 120 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 6445824.

The previous prime is 28212227. The next prime is 28212251. The reversal of 28212240 is 4221282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10561 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 228212240 is an apocalyptic number.

28212240 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 28212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

28212240 is an abundant number, since it is smaller than the sum of its proper divisors (73566960).

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

28212240 is a wasteful number, since it uses less digits than its factorization.

28212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 28212240 is about 5311.5195565864. The cubic root of 28212240 is about 304.4242115517.

The spelling of 28212240 in words is "twenty-eight million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2399 2940 3920 4798 5880 7197 9596 11760 11995 14394 16793 19192 23990 28788 33586 35985 38384 47980 50379 57576 67172 71970 83965 95960 100758 115152 117551 134344 143940 167930 191920 201516 235102 251895 268688 287880 335860 352653 403032 470204 503790 575760 587755 671720 705306 806064 940408 1007580 1175510 1343440 1410612 1763265 1880816 2015160 2351020 2821224 3526530 4030320 4702040 5642448 7053060 9404080 14106120 28212240