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1300440000 = 2635410837
BaseRepresentation
bin100110110000011…
…0010001111000000
310100122000012022110
41031200302033000
510130403040000
6333012535320
744140362156
oct11540621700
93318005273
101300440000
11608078902
12303621540
13179560332
14c49d73d6
157927a850
hex4d8323c0

1300440000 has 140 divisors (see below), whose sum is σ = 4299954824. Its totient is φ = 346752000.

The previous prime is 1300439981. The next prime is 1300440017. The reversal of 1300440000 is 440031.

It is a super-2 number, since 2×13004400002 = 3382288387200000000, which contains 22 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114582 + ... + 125418.

Almost surely, 21300440000 is an apocalyptic number.

1300440000 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 1300440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149977412).

1300440000 is an abundant number, since it is smaller than the sum of its proper divisors (2999514824).

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

1300440000 is an equidigital number, since it uses as much as digits as its factorization.

1300440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10872 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1300440000 is about 36061.6139405879. The cubic root of 1300440000 is about 1091.5160006767.

Adding to 1300440000 its reverse (440031), we get a palindrome (1300880031).

The spelling of 1300440000 in words is "one billion, three hundred million, four hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 10837 12000 15000 20000 21674 24000 30000 32511 40000 43348 54185 60000 65022 86696 108370 120000 130044 162555 173392 216740 260088 270925 325110 346784 433480 520176 541850 650220 693568 812775 866960 1040352 1083700 1300440 1354625 1625550 1733920 2080704 2167400 2600880 2709250 3251100 3467840 4063875 4334800 5201760 5418500 6502200 6773125 8127750 8669600 10403520 10837000 13004400 13546250 16255500 17339200 20319375 21674000 26008800 27092500 32511000 40638750 43348000 52017600 54185000 65022000 81277500 86696000 108370000 130044000 162555000 216740000 260088000 325110000 433480000 650220000 1300440000