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1052680368 = 243831312017
BaseRepresentation
bin111110101111101…
…010000010110000
32201100210200222210
4332233222002300
54123441232433
6252242332120
735041430655
oct7657520260
92640720883
101052680368
114a0235383
1225465a040
1313a1235bc
149db41c2c
156263a463
hex3ebea0b0

1052680368 has 80 divisors (see below), whose sum is σ = 2774572416. Its totient is φ = 343848960.

The previous prime is 1052680357. The next prime is 1052680373. The reversal of 1052680368 is 8630862501.

It is a happy number.

It is a super-2 number, since 2×10526803682 = 2216271914345230848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520896 + ... + 522912.

Almost surely, 21052680368 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 1052680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387286208).

1052680368 is an abundant number, since it is smaller than the sum of its proper divisors (1721892048).

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

1052680368 is a wasteful number, since it uses less digits than its factorization.

1052680368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1052680368 is about 32445.0361072383. The cubic root of 1052680368 is about 1017.2604842443.

The spelling of 1052680368 in words is "one billion, fifty-two million, six hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 131 166 249 262 332 393 498 524 664 786 996 1048 1328 1572 1992 2017 2096 3144 3984 4034 6051 6288 8068 10873 12102 16136 21746 24204 32272 32619 43492 48408 65238 86984 96816 130476 167411 173968 260952 264227 334822 502233 521904 528454 669644 792681 1004466 1056908 1339288 1585362 2008932 2113816 2678576 3170724 4017864 4227632 6341448 8035728 12682896 21930841 43861682 65792523 87723364 131585046 175446728 263170092 350893456 526340184 1052680368