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270720252 = 2233111811259
BaseRepresentation
bin10000001000101…
…101110011111100
3200212102000101000
4100020231303330
51023301022002
642510250300
76465040605
oct2010556374
9625360330
10270720252
111298a6150
12767b6990
13441188ca
1427d50dac
1518b7861c
hex1022dcfc

270720252 has 96 divisors (see below), whose sum is σ = 770515200. Its totient is φ = 81518400.

The previous prime is 270720221. The next prime is 270720259. The reversal of 270720252 is 252027072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270720259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214399 + ... + 215657.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2270720252 is an apocalyptic number.

270720252 is a gapful number since it is divisible by the number (22) 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 270720252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

270720252 is an abundant number, since it is smaller than the sum of its proper divisors (499794948).

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

270720252 is a wasteful number, since it uses less digits than its factorization.

270720252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 270720252 is about 16453.5786988728. The cubic root of 270720252 is about 646.9046137251.

The spelling of 270720252 in words is "two hundred seventy million, seven hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1259 1629 1991 2172 2518 3258 3777 3982 4887 5036 5973 6516 7554 7964 9774 11331 11946 13849 15108 17919 19548 22662 23892 27698 33993 35838 41547 45324 53757 55396 67986 71676 83094 107514 124641 135972 166188 215028 227879 249282 373923 455758 498564 683637 747846 911516 1367274 1495692 2050911 2506669 2734548 4101822 5013338 6152733 7520007 8203644 10026676 12305466 15040014 22560021 24610932 30080028 45120042 67680063 90240084 135360126 270720252