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1012265660 = 225719220029
BaseRepresentation
bin111100010101011…
…111001010111100
32121112202102102202
4330111133022330
54033120000120
6244240211032
734041054560
oct7425371274
92545672382
101012265660
1147a44119a
12243009a78
13131943083
14986216a0
155dd05875
hex3c55f2bc

1012265660 has 72 divisors (see below), whose sum is σ = 2564160480. Its totient is φ = 328779648.

The previous prime is 1012265633. The next prime is 1012265701. The reversal of 1012265660 is 665622101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40526 + ... + 60554.

It is an arithmetic number, because the mean of its divisors is an integer number (35613340).

Almost surely, 21012265660 is an apocalyptic number.

1012265660 is a gapful number since it is divisible by the number (10) 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 1012265660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282080240).

1012265660 is an abundant number, since it is smaller than the sum of its proper divisors (1551894820).

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

1012265660 is a wasteful number, since it uses less digits than its factorization.

1012265660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20083 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1012265660 is about 31816.1226424591. The cubic root of 1012265660 is about 1004.0719500508.

Adding to 1012265660 its reverse (665622101), we get a palindrome (1677887761).

The spelling of 1012265660 in words is "one billion, twelve million, two hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2527 2660 3610 5054 7220 10108 12635 20029 25270 40058 50540 80116 100145 140203 200290 280406 380551 400580 560812 701015 761102 1402030 1522204 1902755 2663857 2804060 3805510 5327714 7230469 7611020 10655428 13319285 14460938 26638570 28921876 36152345 50613283 53277140 72304690 101226566 144609380 202453132 253066415 506132830 1012265660