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270090352 = 24723111113
BaseRepresentation
bin10000000110010…
…100000001110000
3200211020000022101
4100012110001300
51023120342402
642444550144
76456505300
oct2006240160
9624200271
10270090352
11129505974
1276552354
1343c57c9c
1427c29600
1518aa1b87
hex10194070

270090352 has 60 divisors (see below), whose sum is σ = 628430016. Its totient is φ = 112008960.

The previous prime is 270090299. The next prime is 270090361. The reversal of 270090352 is 253090072.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 270090352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18748 + ... + 29860.

Almost surely, 2270090352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270090352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314215008).

270090352 is an abundant number, since it is smaller than the sum of its proper divisors (358339664).

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

270090352 is a wasteful number, since it uses less digits than its factorization.

270090352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11166 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 270090352 is about 16434.4258189935. The cubic root of 270090352 is about 646.4024943332.

The spelling of 270090352 in words is "two hundred seventy million, ninety thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 11113 12152 22226 24304 44452 77791 88904 155582 177808 311164 344503 544537 622328 689006 1089074 1244656 1378012 2178148 2411521 2756024 4356296 4823042 5512048 8712592 9646084 16880647 19292168 33761294 38584336 67522588 135045176 270090352