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1366361040 = 243511247051
BaseRepresentation
bin101000101110001…
…0000001111010000
310112020001022222110
41101130100033100
510244242023130
6343325505320
745600606612
oct12134201720
93466038873
101366361040
11641303300
12321712240
1318a101375
14cd676db2
157ee4cab0
hex517103d0

1366361040 has 120 divisors (see below), whose sum is σ = 4655889504. Its totient is φ = 331232000.

The previous prime is 1366361033. The next prime is 1366361057. The reversal of 1366361040 is 401636631.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1366360989 and 1366361007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5515 + ... + 52565.

Almost surely, 21366361040 is an apocalyptic number.

1366361040 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 1366361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327944752).

1366361040 is an abundant number, since it is smaller than the sum of its proper divisors (3289528464).

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

1366361040 is a wasteful number, since it uses less digits than its factorization.

1366361040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47089 (or 47072 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1366361040 is about 36964.3211759664. The cubic root of 1366361040 is about 1109.6563175903.

Adding to 1366361040 its reverse (401636631), we get a palindrome (1767997671).

The spelling of 1366361040 in words is "one billion, three hundred sixty-six million, three hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 47051 94102 141153 188204 235255 282306 376408 470510 517561 564612 705765 752816 941020 1035122 1129224 1411530 1552683 1882040 2070244 2258448 2587805 2823060 3105366 3764080 4140488 5175610 5646120 5693171 6210732 7763415 8280976 10351220 11292240 11386342 12421464 15526830 17079513 20702440 22772684 24842928 28465855 31053660 34159026 41404880 45545368 56931710 62107320 68318052 85397565 91090736 113863420 124214640 136636104 170795130 227726840 273272208 341590260 455453680 683180520 1366361040