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1238380 = 2251113433
BaseRepresentation
bin100101110010101101100
32022220201221
410232111230
5304112010
642313124
713345303
oct4562554
92286657
101238380
11776460
124b87a4
13344890
1424343a
15196dda
hex12e56c

1238380 has 48 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 414720.

The previous prime is 1238371. The next prime is 1238381. The reversal of 1238380 is 838321.

1238380 = T469 + T470 + ... + T479.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1238381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644 + ... + 3076.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

21238380 is an apocalyptic number.

1238380 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 1238380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

1238380 is an abundant number, since it is smaller than the sum of its proper divisors (1823924).

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

1238380 is a wasteful number, since it uses less digits than its factorization.

1238380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1238380 is about 1112.8252333588. The cubic root of 1238380 is about 107.3869010631.

The spelling of 1238380 in words is "one million, two hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 433 572 715 866 1430 1732 2165 2860 4330 4763 5629 8660 9526 11258 19052 22516 23815 28145 47630 56290 61919 95260 112580 123838 247676 309595 619190 1238380