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3135060992 = 21072631663
BaseRepresentation
bin1011101011011101…
…0011110000000000
322002111011121012002
42322313103300000
522410033422432
61235031123132
7140455402340
oct27267236000
98074147162
103135060992
1113697297a8
12735b134a8
133ac68279b
1421a522d20
15135371e62
hexbadd3c00

3135060992 has 88 divisors (see below), whose sum is σ = 7193911296. Its totient is φ = 1337683968.

The previous prime is 3135060983. The next prime is 3135061003. The reversal of 3135060992 is 2990605313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884353 + ... + 1886015.

It is an arithmetic number, because the mean of its divisors is an integer number (81748992).

Almost surely, 23135060992 is an apocalyptic number.

3135060992 is a gapful number since it is divisible by the number (32) 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 3135060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596955648).

3135060992 is an abundant number, since it is smaller than the sum of its proper divisors (4058850304).

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

3135060992 is a wasteful number, since it uses less digits than its factorization.

3135060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 3135060992 is about 55991.6153723037. The cubic root of 3135060992 is about 1463.5761760011.

The spelling of 3135060992 in words is "three billion, one hundred thirty-five million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 263 448 512 526 896 1024 1052 1663 1792 1841 2104 3326 3584 3682 4208 6652 7168 7364 8416 11641 13304 14728 16832 23282 26608 29456 33664 46564 53216 58912 67328 93128 106432 117824 134656 186256 212864 235648 269312 372512 425728 437369 471296 745024 851456 874738 942592 1490048 1702912 1749476 1885184 2980096 3061583 3498952 5960192 6123166 6997904 11920384 12246332 13995808 24492664 27991616 48985328 55983232 97970656 111966464 195941312 223932928 391882624 447865856 783765248 1567530496 3135060992