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1363330540 = 22511132711759
BaseRepresentation
bin101000101000010…
…1100010111101100
310112000100100220201
41101100230113230
510243003034130
6343140523244
745533055415
oct12120542754
93460310821
101363330540
1163a623460
123206b0524
131895acb80
14cd0c880c
157ea4ebca
hex5142c5ec

1363330540 has 96 divisors (see below), whose sum is σ = 3377848320. Its totient is φ = 455673600.

The previous prime is 1363330537. The next prime is 1363330547. The reversal of 1363330540 is 450333631.

It is a super-2 number, since 2×13633305402 = 3717340322593383200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1363330499 and 1363330508.

It is not an unprimeable number, because it can be changed into a prime (1363330547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774181 + ... + 775939.

It is an arithmetic number, because the mean of its divisors is an integer number (35185920).

Almost surely, 21363330540 is an apocalyptic number.

1363330540 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 1363330540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688924160).

1363330540 is an abundant number, since it is smaller than the sum of its proper divisors (2014517780).

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

1363330540 is a wasteful number, since it uses less digits than its factorization.

1363330540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The square root of 1363330540 is about 36923.3061899933. The cubic root of 1363330540 is about 1108.8353284551.

The spelling of 1363330540 in words is "one billion, three hundred sixty-three million, three hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 271 286 542 572 715 1084 1355 1430 1759 2710 2860 2981 3518 3523 5420 5962 7036 7046 8795 11924 14092 14905 17590 17615 19349 22867 29810 35180 35230 38698 38753 45734 59620 70460 77396 77506 91468 96745 114335 155012 193490 193765 228670 251537 386980 387530 457340 476689 503074 775060 953378 1006148 1257685 1906756 2383445 2515370 4766890 5030740 5243579 6196957 9533780 10487158 12393914 20974316 24787828 26217895 30984785 52435790 61969570 68166527 104871580 123939140 136333054 272666108 340832635 681665270 1363330540