Search a number
-
+
1326000120 = 2335195631033
BaseRepresentation
bin100111100001001…
…0010011111111000
310102102002210012120
41033002102133320
510203424000440
6335324441240
744600546364
oct11702223770
93372083176
101326000120
11620546575
123100a9220
1318193c473
14c816c2a4
157b628dd0
hex4f0927f8

1326000120 has 128 divisors (see below), whose sum is σ = 4198867200. Its totient is φ = 334070784.

The previous prime is 1326000113. The next prime is 1326000133. The reversal of 1326000120 is 210006231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1326000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283124 + ... + 1284156.

It is an arithmetic number, because the mean of its divisors is an integer number (32803650).

Almost surely, 21326000120 is an apocalyptic number.

1326000120 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 1326000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099433600).

1326000120 is an abundant number, since it is smaller than the sum of its proper divisors (2872867080).

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

1326000120 is a wasteful number, since it uses less digits than its factorization.

1326000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1625 counting only the distinct ones).

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

The square root of 1326000120 is about 36414.2845597713. The cubic root of 1326000120 is about 1098.6208942825.

Adding to 1326000120 its reverse (210006231), we get a palindrome (1536006351).

The spelling of 1326000120 in words is "one billion, three hundred twenty-six million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 563 570 760 1033 1126 1140 1689 2066 2252 2280 2815 3099 3378 4132 4504 5165 5630 6198 6756 8264 8445 10330 10697 11260 12396 13512 15495 16890 19627 20660 21394 22520 24792 30990 32091 33780 39254 41320 42788 53485 58881 61980 64182 67560 78508 85576 98135 106970 117762 123960 128364 157016 160455 196270 213940 235524 256728 294405 320910 392540 427880 471048 581579 588810 641820 785080 1163158 1177620 1283640 1744737 2326316 2355240 2907895 3489474 4652632 5815790 6978948 8723685 11050001 11631580 13957896 17447370 22100002 23263160 33150003 34894740 44200004 55250005 66300006 69789480 88400008 110500010 132600012 165750015 221000020 265200024 331500030 442000040 663000060 1326000120