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270383148 = 2232719149379
BaseRepresentation
bin10000000111011…
…011100000101100
3200211202212221200
4100013123200230
51023204230043
642455125500
76462135030
oct2007334054
9624685850
10270383148
11129695952
1276673890
134402b339
1427ca41c0
1518b0d7d3
hex101db82c

270383148 has 144 divisors (see below), whose sum is σ = 829920000. Its totient is φ = 72503424.

The previous prime is 270383143. The next prime is 270383149. The reversal of 270383148 is 841383072.

270383148 is a `hidden beast` number, since 270 + 383 + 1 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (270383143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713223 + ... + 713601.

Almost surely, 2270383148 is an apocalyptic number.

270383148 is a gapful number since it is divisible by the number (28) 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 270383148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960000).

270383148 is an abundant number, since it is smaller than the sum of its proper divisors (559536852).

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

270383148 is a wasteful number, since it uses less digits than its factorization.

270383148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 270383148 is about 16443.3314142846. The cubic root of 270383148 is about 646.6359911524.

The spelling of 270383148 in words is "two hundred seventy million, three hundred eighty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 149 171 228 252 266 298 342 379 399 447 532 596 684 758 798 894 1043 1137 1197 1341 1516 1596 1788 2086 2274 2394 2653 2682 2831 3129 3411 4172 4548 4788 5306 5364 5662 6258 6822 7201 7959 8493 9387 10612 11324 12516 13644 14402 15918 16986 18774 19817 21603 23877 25479 28804 31836 33972 37548 39634 43206 47754 50407 50958 56471 59451 64809 79268 86412 95508 100814 101916 112942 118902 129618 151221 169413 178353 201628 225884 237804 259236 302442 338826 356706 395297 453663 508239 604884 677652 713412 790594 907326 1016478 1072949 1185891 1581188 1814652 2032956 2145898 2371782 3218847 3557673 4291796 4743564 6437694 7115346 7510643 9656541 12875388 14230692 15021286 19313082 22531929 30042572 38626164 45063858 67595787 90127716 135191574 270383148