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1380816 = 243243223
BaseRepresentation
bin101010001000111010000
32121011010100
411101013100
5323141231
645332400
714510463
oct5210720
92534110
101380816
11863478
12567100
13394668
1427d2da
151c41e6
hex1511d0

1380816 has 60 divisors (see below), whose sum is σ = 3971968. Its totient is φ = 447552.

The previous prime is 1380811. The next prime is 1380817. The reversal of 1380816 is 6180831.

It is a self number, because there is not a number n which added to its sum of digits gives 1380816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6081 + ... + 6303.

21380816 is an apocalyptic number.

1380816 is a gapful number since it is divisible by the number (16) 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 1380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985984).

1380816 is an abundant number, since it is smaller than the sum of its proper divisors (2591152).

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

1380816 is a wasteful number, since it uses less digits than its factorization.

1380816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1380816 is about 1175.0812737849. The cubic root of 1380816 is about 111.3555678478.

It can be divided in two parts, 13808 and 16, that added together give a cube (13824 = 243).

The spelling of 1380816 in words is "one million, three hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 223 258 344 387 446 516 669 688 774 892 1032 1338 1548 1784 2007 2064 2676 3096 3568 4014 5352 6192 8028 9589 10704 16056 19178 28767 32112 38356 57534 76712 86301 115068 153424 172602 230136 345204 460272 690408 1380816