Search a number
-
+
270826992 = 243259127251
BaseRepresentation
bin10000001001000…
…111110111110000
3200212121102210100
4100021013313300
51023312430432
642512432400
76465664032
oct2011076760
9625542710
10270826992
11129969367
1276848700
1344155377
1427d7bc52
1518b9a07c
hex10247df0

270826992 has 120 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 87696000.

The previous prime is 270826991. The next prime is 270826999. The reversal of 270826992 is 299628072.

270826992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270826991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078867 + ... + 1079117.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2270826992 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 270826992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

270826992 is an abundant number, since it is smaller than the sum of its proper divisors (509123088).

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

270826992 is a wasteful number, since it uses less digits than its factorization.

270826992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 270826992 is about 16456.8220504446. The cubic root of 270826992 is about 646.9896234043.

The spelling of 270826992 in words is "two hundred seventy million, eight hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 127 144 177 236 251 254 354 381 472 502 508 531 708 753 762 944 1004 1016 1062 1143 1416 1506 1524 2008 2032 2124 2259 2286 2832 3012 3048 4016 4248 4518 4572 6024 6096 7493 8496 9036 9144 12048 14809 14986 18072 18288 22479 29618 29972 31877 36144 44427 44958 59236 59944 63754 67437 88854 89916 95631 118472 119888 127508 133281 134874 177708 179832 191262 236944 255016 266562 269748 286893 355416 359664 382524 510032 533124 539496 573786 710832 765048 1066248 1078992 1147572 1530096 1880743 2132496 2295144 3761486 4590288 5642229 7522972 11284458 15045944 16926687 22568916 30091888 33853374 45137832 67706748 90275664 135413496 270826992