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1387944 = 233237521
BaseRepresentation
bin101010010110110101000
32121111220100
411102312220
5323403234
645425400
714540325
oct5226650
92544810
101387944
11868868
1256b260
1339798c
14281b4c
151c6399
hex152da8

1387944 has 48 divisors (see below), whose sum is σ = 3868020. Its totient is φ = 449280.

The previous prime is 1387943. The next prime is 1387961. The reversal of 1387944 is 4497831.

It is a happy number.

1387944 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 1368900 + 19044 = 1170^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1387899 and 1387908.

It is not an unprimeable number, because it can be changed into a prime (1387943) 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, 2404 + ... + 2924.

21387944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934010).

1387944 is an abundant number, since it is smaller than the sum of its proper divisors (2480076).

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

1387944 is a wasteful number, since it uses less digits than its factorization.

1387944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 563 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1387944 is about 1178.1103513678. The cubic root of 1387944 is about 111.5468510169.

The spelling of 1387944 in words is "one million, three hundred eighty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 521 666 888 1042 1332 1563 2084 2664 3126 4168 4689 6252 9378 12504 18756 19277 37512 38554 57831 77108 115662 154216 173493 231324 346986 462648 693972 1387944