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270076356 = 2234112832
BaseRepresentation
bin10000000110010…
…000100111000100
3200211012022010000
4100012100213010
51023114420411
642444401300
76456416424
oct2006204704
9624168100
10270076356
111294a6400
1276546230
1343c517c4
1427c24484
1518a9c956
hex101909c4

270076356 has 135 divisors (see below), whose sum is σ = 785515423. Its totient is φ = 80855280.

The previous prime is 270076351. The next prime is 270076361. The reversal of 270076356 is 653670072.

It is a happy number.

The square root of 270076356 is 16434.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (270076351) and next prime (270076361).

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

It is a self number, because there is not a number n which added to its sum of digits gives 270076356.

It is not an unprimeable number, because it can be changed into a prime (270076351) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3253891 + ... + 3253973.

Almost surely, 2270076356 is an apocalyptic number.

270076356 is the 16434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270076356

270076356 is an abundant number, since it is smaller than the sum of its proper divisors (515439067).

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

270076356 is a wasteful number, since it uses less digits than its factorization.

270076356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The cubic root of 270076356 is about 646.3913286801.

Multiplying 270076356 by its sum of digits (36), we get a square (9722748816 = 986042).

270076356 divided by its sum of digits (36) gives a square (7502121 = 27392).

The spelling of 270076356 in words is "two hundred seventy million, seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 83 99 108 121 132 162 166 198 242 249 297 324 332 363 396 484 498 594 726 747 891 913 996 1089 1188 1452 1494 1782 1826 2178 2241 2739 2988 3267 3564 3652 4356 4482 5478 6534 6723 6889 8217 8964 9801 10043 10956 13068 13446 13778 16434 19602 20086 20667 24651 26892 27556 30129 32868 39204 40172 41334 49302 60258 62001 73953 75779 82668 90387 98604 120516 124002 147906 151558 180774 186003 227337 248004 271161 295812 303116 361548 372006 454674 542322 558009 682011 744012 813483 833569 909348 1084644 1116018 1364022 1626966 1667138 2046033 2232036 2500707 2728044 3253932 3334276 4092066 5001414 6138099 7502121 8184132 10002828 12276198 15004242 22506363 24552396 30008484 45012726 67519089 90025452 135038178 270076356