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270242688 = 2736183139
BaseRepresentation
bin10000000110111…
…001001110000000
3200211111202021110
4100012321032000
51023140231223
642452123320
76461011362
oct2006711600
9624452243
10270242688
111295aa371
1276606540
1343cac421
1427c68d32
1518ad1d93
hex101b9380

270242688 has 128 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 86906880.

The previous prime is 270242683. The next prime is 270242689. The reversal of 270242688 is 886242072.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2702426882 = 146062220834930688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270242683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1944123 + ... + 1944261.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2270242688 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 270242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

270242688 is an abundant number, since it is smaller than the sum of its proper divisors (473459712).

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

270242688 is a wasteful number, since it uses less digits than its factorization.

270242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 270242688 is about 16439.0598271312. The cubic root of 270242688 is about 646.5239991833.

The spelling of 270242688 in words is "two hundred seventy million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 83 96 122 128 139 166 183 192 244 249 278 332 366 384 417 488 498 556 664 732 834 976 996 1112 1328 1464 1668 1952 1992 2224 2656 2928 3336 3904 3984 4448 5063 5312 5856 6672 7808 7968 8479 8896 10126 10624 11537 11712 13344 15189 15936 16958 17792 20252 23074 23424 25437 26688 30378 31872 33916 34611 40504 46148 50874 53376 60756 67832 69222 81008 92296 101748 121512 135664 138444 162016 184592 203496 243024 271328 276888 324032 369184 406992 486048 542656 553776 648064 703757 738368 813984 972096 1085312 1107552 1407514 1476736 1627968 1944192 2111271 2215104 2815028 3255936 4222542 4430208 5630056 8445084 11260112 16890168 22520224 33780336 45040448 67560672 90080896 135121344 270242688