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270196146 = 232112131947
BaseRepresentation
bin10000000110101…
…101110110110010
3200211102101102200
4100012231312302
51023132234041
642451124030
76460425603
oct2006556662
9624371380
10270196146
11129578400
12765a3616
1343c9419c
1427c55daa
1518ac31b6
hex101addb2

270196146 has 72 divisors (see below), whose sum is σ = 649080432. Its totient is φ = 81166800.

The previous prime is 270196139. The next prime is 270196211. The reversal of 270196146 is 641691072.

270196146 is a `hidden beast` number, since 27 + 0 + 19 + 614 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 270196146.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284845 + ... + 285791.

It is an arithmetic number, because the mean of its divisors is an integer number (9015006).

Almost surely, 2270196146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270196146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324540216).

270196146 is an abundant number, since it is smaller than the sum of its proper divisors (378884286).

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

270196146 is a wasteful number, since it uses less digits than its factorization.

270196146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 270196146 is about 16437.6441742727. The cubic root of 270196146 is about 646.4868816233.

The spelling of 270196146 in words is "two hundred seventy million, one hundred ninety-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 131 198 242 262 363 393 726 786 947 1089 1179 1441 1894 2178 2358 2841 2882 4323 5682 8523 8646 10417 12969 15851 17046 20834 25938 31251 31702 47553 62502 93753 95106 114587 124057 142659 187506 229174 248114 285318 343761 372171 687522 744342 1031283 1116513 1364627 2062566 2233026 2729254 4093881 8187762 12281643 15010897 24563286 30021794 45032691 90065382 135098073 270196146