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1366004250 = 23453135189
BaseRepresentation
bin101000101101011…
…1001001000011010
310112012101012120000
41101122321020122
510244144114000
6343314113430
745564562452
oct12132711032
93465335500
101366004250
1164108a236
1232157b876
1318a007b50
14cd5c2d62
157edcc000
hex516b921a

1366004250 has 160 divisors (see below), whose sum is σ = 4114590480. Its totient is φ = 336182400.

The previous prime is 1366004249. The next prime is 1366004267. The reversal of 1366004250 is 524006631.

1366004250 is a `hidden beast` number, since 1 + 3 + 6 + 600 + 4 + 2 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26224641 + 1339779609 = 5121^2 + 36603^2 .

It is a super-2 number, since 2×13660042502 = 3731935222036125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260656 + ... + 265844.

Almost surely, 21366004250 is an apocalyptic number.

1366004250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366004250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057295240).

1366004250 is an abundant number, since it is smaller than the sum of its proper divisors (2748586230).

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

1366004250 is a wasteful number, since it uses less digits than its factorization.

1366004250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1366004250 is about 36959.4947205721. The cubic root of 1366004250 is about 1109.5597231247.

The spelling of 1366004250 in words is "one billion, three hundred sixty-six million, four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 125 130 135 150 162 195 225 234 250 270 325 351 375 390 405 450 585 650 675 702 750 810 975 1053 1125 1170 1350 1625 1755 1950 2025 2106 2250 2925 3250 3375 3510 4050 4875 5189 5265 5850 6750 8775 9750 10125 10378 10530 14625 15567 17550 20250 25945 26325 29250 31134 43875 46701 51890 52650 67457 77835 87750 93402 129725 131625 134914 140103 155670 202371 233505 259450 263250 280206 337285 389175 404742 420309 467010 607113 648625 674570 700515 778350 840618 1011855 1167525 1214226 1297250 1401030 1686425 1821339 1945875 2023710 2101545 2335050 3035565 3372850 3502575 3642678 3891750 4203090 5059275 5464017 5837625 6071130 7005150 8432125 9106695 10118550 10507725 10928034 11675250 15177825 16864250 17512875 18213390 21015450 25296375 27320085 30355650 35025750 45533475 50592750 52538625 54640170 75889125 91066950 105077250 136600425 151778250 227667375 273200850 455334750 683002125 1366004250