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1300940000 = 2554292243
BaseRepresentation
bin100110110001010…
…1100010011100000
310100122221121011222
41031202230103200
510131020040000
6333031354212
744144543663
oct11542542340
93318847158
101300940000
1160838a528
12303822968
131796a6aa9
14c4ac76da
1579328a85
hex4d8ac4e0

1300940000 has 120 divisors (see below), whose sum is σ = 3312345960. Its totient is φ = 502208000.

The previous prime is 1300939999. The next prime is 1300940023. The reversal of 1300940000 is 490031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578879 + ... + 581121.

It is an arithmetic number, because the mean of its divisors is an integer number (27602883).

Almost surely, 21300940000 is an apocalyptic number.

1300940000 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 1300940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656172980).

1300940000 is an abundant number, since it is smaller than the sum of its proper divisors (2011405960).

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

1300940000 is an equidigital number, since it uses as much as digits as its factorization.

1300940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1300940000 is about 36068.5458536936. The cubic root of 1300940000 is about 1091.6558733531.

The spelling of 1300940000 in words is "one billion, three hundred million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2243 2320 2500 2900 3625 4000 4486 4640 5000 5800 7250 8972 10000 11215 11600 14500 17944 18125 20000 22430 23200 29000 35888 36250 44860 56075 58000 65047 71776 72500 89720 112150 116000 130094 145000 179440 224300 260188 280375 290000 325235 358880 448600 520376 560750 580000 650470 897200 1040752 1121500 1300940 1401875 1626175 1794400 2081504 2243000 2601880 2803750 3252350 4486000 5203760 5607500 6504700 8130875 8972000 10407520 11215000 13009400 16261750 22430000 26018800 32523500 40654375 44860000 52037600 65047000 81308750 130094000 162617500 260188000 325235000 650470000 1300940000