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1330423560 = 233257152051
BaseRepresentation
bin100111101001100…
…1010011100001000
310102201102112000200
41033103022130020
510211042023220
6340003332200
744653261614
oct11723123410
93381375020
101330423560
11622a97a04
12311681060
1318282a99b
14c89a0344
157bbee890
hex4f4ca708

1330423560 has 96 divisors (see below), whose sum is σ = 4384860480. Its totient is φ = 349776000.

The previous prime is 1330423537. The next prime is 1330423561. The reversal of 1330423560 is 653240331.

It is a happy number.

1330423560 is a `hidden beast` number, since 1 + 3 + 304 + 2 + 356 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1330423561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466 + ... + 51585.

It is an arithmetic number, because the mean of its divisors is an integer number (45675630).

Almost surely, 21330423560 is an apocalyptic number.

1330423560 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 1330423560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192430240).

1330423560 is an abundant number, since it is smaller than the sum of its proper divisors (3054436920).

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

1330423560 is a wasteful number, since it uses less digits than its factorization.

1330423560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52139 (or 52132 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1330423560 is about 36474.9716929294. The cubic root of 1330423560 is about 1099.8411781718.

Adding to 1330423560 its reverse (653240331), we get a palindrome (1983663891).

It can be divided in two parts, 13304 and 23560, that added together give a square (36864 = 1922).

The spelling of 1330423560 in words is "one billion, three hundred thirty million, four hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 52051 104102 156153 208204 260255 312306 416408 468459 520510 624612 780765 936918 1041020 1249224 1561530 1873836 2082040 2342295 3123060 3695621 3747672 4684590 6246120 7391242 9369180 11086863 14782484 18478105 18738360 22173726 29564968 33260589 36956210 44347452 55434315 66521178 73912420 88694904 110868630 133042356 147824840 166302945 221737260 266084712 332605890 443474520 665211780 1330423560