Search a number
-
+
1366352240 = 2451110115373
BaseRepresentation
bin101000101110000…
…1110000101110000
310112020000212220112
41101130032011300
510244241232430
6343325400452
745600542141
oct12134160560
93466025815
101366352240
116412a7730
12321709128
1318a0ca366
14cd673ac8
157ee4a195
hex5170e170

1366352240 has 80 divisors (see below), whose sum is σ = 3500106336. Its totient is φ = 491904000.

The previous prime is 1366352231. The next prime is 1366352257. The reversal of 1366352240 is 422536631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1366352197 and 1366352206.

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 15 ways as a sum of consecutive naturals, for example, 81194 + ... + 96566.

Almost surely, 21366352240 is an apocalyptic number.

1366352240 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 1366352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750053168).

1366352240 is an abundant number, since it is smaller than the sum of its proper divisors (2133754096).

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

1366352240 is a wasteful number, since it uses less digits than its factorization.

1366352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15498 (or 15492 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 1366352240 is about 36964.2021420725. The cubic root of 1366352240 is about 1109.6539353511.

Adding to 1366352240 its reverse (422536631), we get a palindrome (1788888871).

The spelling of 1366352240 in words is "one billion, three hundred sixty-six million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 15373 17776 22220 30746 44440 61492 76865 88880 122984 153730 169103 245968 307460 338206 614920 676412 845515 1229840 1352824 1552673 1691030 2705648 3105346 3382060 6210692 6764120 7763365 12421384 13528240 15526730 17079403 24842768 31053460 34158806 62106920 68317612 85397015 124213840 136635224 170794030 273270448 341588060 683176120 1366352240