Search a number
-
+
1388600 = 235253131
BaseRepresentation
bin101010011000000111000
32121112210122
411103000320
5323413400
645432412
714542253
oct5230070
92545718
101388600
11869304
1256b708
13398075
1428209a
151c6685
hex153038

1388600 has 48 divisors (see below), whose sum is σ = 3314520. Its totient is φ = 540800.

The previous prime is 1388593. The next prime is 1388603. The reversal of 1388600 is 68831.

It is a self number, because there is not a number n which added to its sum of digits gives 1388600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388603) 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, 10535 + ... + 10665.

21388600 is an apocalyptic number.

1388600 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 1388600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657260).

1388600 is an abundant number, since it is smaller than the sum of its proper divisors (1925920).

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

1388600 is a wasteful number, since it uses less digits than its factorization.

1388600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1388600 is about 1178.3887304281. The cubic root of 1388600 is about 111.5644221410.

The spelling of 1388600 in words is "one million, three hundred eighty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 131 200 212 262 265 424 524 530 655 1048 1060 1310 1325 2120 2620 2650 3275 5240 5300 6550 6943 10600 13100 13886 26200 27772 34715 55544 69430 138860 173575 277720 347150 694300 1388600