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1330012140 = 2235107223929
BaseRepresentation
bin100111101000110…
…0101111111101100
310102200122121122220
41033101211333230
510210440342030
6335550435340
744646626262
oct11721457754
93380577586
101330012140
11622836896
12311502b50
13182715642
14c88d4432
157bb6ca10
hex4f465fec

1330012140 has 96 divisors (see below), whose sum is σ = 3779758080. Its totient is φ = 349403136.

The previous prime is 1330012133. The next prime is 1330012183. The reversal of 1330012140 is 412100331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431196 + ... + 1432124.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 21330012140 is an apocalyptic number.

1330012140 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 1330012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889879040).

1330012140 is an abundant number, since it is smaller than the sum of its proper divisors (2449745940).

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

1330012140 is a wasteful number, since it uses less digits than its factorization.

1330012140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1330012140 is about 36469.3314992200. The cubic root of 1330012140 is about 1099.7277949049.

Adding to 1330012140 its reverse (412100331), we get a palindrome (1742112471).

The spelling of 1330012140 in words is "one billion, three hundred thirty million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 223 321 428 446 535 642 669 892 929 1070 1115 1284 1338 1605 1858 2140 2230 2676 2787 3210 3345 3716 4460 4645 5574 6420 6690 9290 11148 13380 13935 18580 23861 27870 47722 55740 71583 95444 99403 119305 143166 198806 207167 238610 286332 298209 357915 397612 414334 477220 497015 596418 621501 715830 828668 994030 1035835 1192836 1243002 1431660 1491045 1988060 2071670 2486004 2982090 3107505 4143340 5964180 6215010 12430020 22166869 44333738 66500607 88667476 110834345 133001214 221668690 266002428 332503035 443337380 665006070 1330012140