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1320063140 = 2251179151503
BaseRepresentation
bin100111010101110…
…1001000010100100
310101222221011012102
41032223221002210
510200414010030
6334553311232
744466231404
oct11653510244
93358834172
101320063140
11618160a80
1230a105518
13180641066
14c7464804
157ad54c45
hex4eae90a4

1320063140 has 96 divisors (see below), whose sum is σ = 3088834560. Its totient is φ = 469872000.

The previous prime is 1320063113. The next prime is 1320063163. The reversal of 1320063140 is 413600231.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2624129 + ... + 2624631.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 21320063140 is an apocalyptic number.

1320063140 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 1320063140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

1320063140 is an abundant number, since it is smaller than the sum of its proper divisors (1768771420).

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

1320063140 is a wasteful number, since it uses less digits than its factorization.

1320063140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1320063140 is about 36332.6731744308. The cubic root of 1320063140 is about 1096.9788006463.

Adding to 1320063140 its reverse (413600231), we get a palindrome (1733663371).

The spelling of 1320063140 in words is "one billion, three hundred twenty million, sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 151 158 220 302 316 395 503 604 755 790 869 1006 1510 1580 1661 1738 2012 2515 3020 3322 3476 4345 5030 5533 6644 8305 8690 10060 11066 11929 16610 17380 22132 23858 27665 33220 39737 47716 55330 59645 75953 79474 110660 119290 131219 151906 158948 198685 238580 262438 303812 379765 397370 437107 524876 656095 759530 794740 835483 874214 1312190 1519060 1670966 1748428 2185535 2624380 3341932 4177415 4371070 6000287 8354830 8742140 12000574 16709660 24001148 30001435 60002870 66003157 120005740 132006314 264012628 330015785 660031570 1320063140