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1300211040 = 253519142567
BaseRepresentation
bin100110101111111…
…1010010101100000
310100121120120020110
41031133322111200
510130323223130
6333004011320
744135416512
oct11537722540
93317516213
101300211040
11607a31887
12303530b40
131794b005b
14c4977bb2
1579232ab0
hex4d7fa560

1300211040 has 96 divisors (see below), whose sum is σ = 4311256320. Its totient is φ = 328472064.

The previous prime is 1300211009. The next prime is 1300211053. The reversal of 1300211040 is 401120031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62164 + ... + 80403.

It is an arithmetic number, because the mean of its divisors is an integer number (44908920).

Almost surely, 21300211040 is an apocalyptic number.

1300211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300211040 is an abundant number, since it is smaller than the sum of its proper divisors (3011045280).

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

1300211040 is a wasteful number, since it uses less digits than its factorization.

1300211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142604 (or 142596 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1300211040 is about 36058.4392341100. The cubic root of 1300211040 is about 1091.4519382128.

Adding to 1300211040 its reverse (401120031), we get a palindrome (1701331071).

It can be divided in two parts, 13002 and 11040, that added together give a palindrome (24042).

The spelling of 1300211040 in words is "one billion, three hundred million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 142567 285134 427701 570268 712835 855402 1140536 1425670 1710804 2138505 2281072 2708773 2851340 3421608 4277010 4562144 5417546 5702680 6843216 8126319 8554020 10835092 11405360 13543865 13686432 16252638 17108040 21670184 22810720 27087730 32505276 34216080 40631595 43340368 54175460 65010552 68432160 81263190 86680736 108350920 130021104 162526380 216701840 260042208 325052760 433403680 650105520 1300211040