Search a number
-
+
1388820 = 223579293
BaseRepresentation
bin101010011000100010100
32121120002210
411103010110
5323420240
645433420
714543016
oct5230424
92546083
101388820
11869494
1256b870
133981b4
142821b6
151c6780
hex153114

1388820 has 48 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 364416.

The previous prime is 1388819. The next prime is 1388837. The reversal of 1388820 is 288831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4594 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

21388820 is an apocalyptic number.

1388820 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 1388820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1388820 is an abundant number, since it is smaller than the sum of its proper divisors (2562540).

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

1388820 is a wasteful number, since it uses less digits than its factorization.

1388820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1388820 is about 1178.4820745349. The cubic root of 1388820 is about 111.5703136568.

The spelling of 1388820 in words is "one million, three hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 293 316 395 474 586 790 879 948 1172 1185 1465 1580 1758 2370 2930 3516 4395 4740 5860 8790 17580 23147 46294 69441 92588 115735 138882 231470 277764 347205 462940 694410 1388820