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270012952 = 231121953277
BaseRepresentation
bin10000000110000…
…001001000011000
3200211002002010201
4100012001020120
51023110403302
642443151544
76456033526
oct2006011030
9624062121
10270012952
11129462800
12765155b4
1343c2b9a1
1427c09316
1518a88c87
hex10181218

270012952 has 96 divisors (see below), whose sum is σ = 598978800. Its totient is φ = 113667840.

The previous prime is 270012937. The next prime is 270012959. The reversal of 270012952 is 259210072.

It is a self number, because there is not a number n which added to its sum of digits gives 270012952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270012959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974638 + ... + 974914.

Almost surely, 2270012952 is an apocalyptic number.

270012952 is a gapful number since it is divisible by the number (22) 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 270012952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299489400).

270012952 is an abundant number, since it is smaller than the sum of its proper divisors (328965848).

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

270012952 is a wasteful number, since it uses less digits than its factorization.

270012952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 270012952 is about 16432.0708372378. The cubic root of 270012952 is about 646.3407417473.

The spelling of 270012952 in words is "two hundred seventy million, twelve thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 53 76 88 106 121 152 209 212 242 277 418 424 484 554 583 836 968 1007 1108 1166 1672 2014 2216 2299 2332 3047 4028 4598 4664 5263 6094 6413 8056 9196 10526 11077 12188 12826 14681 18392 21052 22154 24376 25652 29362 33517 42104 44308 51304 57893 58724 67034 88616 115786 117448 121847 134068 161491 231572 243694 268136 278939 322982 463144 487388 557878 636823 645964 974776 1115756 1273646 1291928 1776401 2231512 2547292 3068329 3552802 5094584 6136658 7105604 12273316 14211208 24546632 33751619 67503238 135006476 270012952