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27149220 = 22325729743
BaseRepresentation
bin110011110010…
…0001110100100
31220002022201200
41213210032210
523422233340
62405522500
7446523150
oct147441644
956068650
1027149220
111436367a
129113430
135817537
14386a060
1525b4330
hex19e43a4

27149220 has 144 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 5983488.

The previous prime is 27149207. The next prime is 27149237. The reversal of 27149220 is 2294172.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36169 + ... + 36911.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 227149220 is an apocalyptic number.

27149220 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 27149220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

27149220 is an abundant number, since it is smaller than the sum of its proper divisors (70344540).

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

27149220 is a wasteful number, since it uses less digits than its factorization.

27149220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27149220 is about 5210.4913395955. The cubic root of 27149220 is about 300.5516516464.

The spelling of 27149220 in words is "twenty-seven million, one hundred forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 743 812 870 1015 1044 1218 1260 1305 1486 1740 1827 2030 2229 2436 2610 2972 3045 3654 3715 4060 4458 5201 5220 6090 6687 7308 7430 8916 9135 10402 11145 12180 13374 14860 15603 18270 20804 21547 22290 26005 26748 31206 33435 36540 43094 44580 46809 52010 62412 64641 66870 78015 86188 93618 104020 107735 129282 133740 150829 156030 187236 193923 215470 234045 258564 301658 312060 323205 387846 430940 452487 468090 603316 646410 754145 775692 904974 936180 969615 1292820 1357461 1508290 1809948 1939230 2262435 2714922 3016580 3878460 4524870 5429844 6787305 9049740 13574610 27149220