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1366199040 = 2835715011
BaseRepresentation
bin101000101101110…
…1000101100000000
310112012202002202110
41101123220230000
510244221332130
6343322215320
745566333403
oct12133505400
93465662673
101366199040
11641202618
12321654540
1318a0756cb
14cd633d3a
157ee19ab0
hex516e8b00

1366199040 has 144 divisors (see below), whose sum is σ = 4425636096. Its totient is φ = 359116800.

The previous prime is 1366198997. The next prime is 1366199143. The reversal of 1366199040 is 409916631.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1366199040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270135 + ... + 275145.

It is an arithmetic number, because the mean of its divisors is an integer number (30733584).

Almost surely, 21366199040 is an apocalyptic number.

1366199040 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 1366199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212818048).

1366199040 is an abundant number, since it is smaller than the sum of its proper divisors (3059437056).

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

1366199040 is an equidigital number, since it uses as much as digits as its factorization.

1366199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 1366199040 is about 36962.1298087651. The cubic root of 1366199040 is about 1109.6124610928.

The spelling of 1366199040 in words is "one billion, three hundred sixty-six million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 568 640 710 768 852 960 1065 1136 1280 1420 1704 1920 2130 2272 2840 3408 3840 4260 4544 5011 5680 6816 8520 9088 10022 11360 13632 15033 17040 18176 20044 22720 25055 27264 30066 34080 40088 45440 50110 54528 60132 68160 75165 80176 90880 100220 120264 136320 150330 160352 200440 240528 272640 300660 320704 355781 400880 481056 601320 641408 711562 801760 962112 1067343 1202640 1282816 1423124 1603520 1778905 1924224 2134686 2405280 2846248 3207040 3557810 3848448 4269372 4810560 5336715 5692496 6414080 7115620 8538744 9621120 10673430 11384992 14231240 17077488 19242240 21346860 22769984 28462480 34154976 42693720 45539968 56924960 68309952 85387440 91079936 113849920 136619904 170774880 227699840 273239808 341549760 455399680 683099520 1366199040