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1405944 = 233323283
BaseRepresentation
bin101010111001111111000
32122102121000
411113033320
5324442234
650045000
714643651
oct5271770
92572530
101405944
11880341
12579760
133a2c27
14288528
151cb899
hex1573f8

1405944 has 64 divisors (see below), whose sum is σ = 4089600. Its totient is φ = 446688.

The previous prime is 1405939. The next prime is 1405979. The reversal of 1405944 is 4495041.

It is a super-2 number, since 2×14059442 = 3953357062272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4827 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (63900).

21405944 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 1405944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044800).

1405944 is an abundant number, since it is smaller than the sum of its proper divisors (2683656).

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

1405944 is a wasteful number, since it uses less digits than its factorization.

1405944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1405944 is about 1185.7250946151. The cubic root of 1405944 is about 112.0269917938.

It can be divided in two parts, 140 and 5944, that added together give a square (6084 = 782).

The spelling of 1405944 in words is "one million, four hundred five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 283 414 552 566 621 828 849 1132 1242 1656 1698 2264 2484 2547 3396 4968 5094 6509 6792 7641 10188 13018 15282 19527 20376 26036 30564 39054 52072 58581 61128 78108 117162 156216 175743 234324 351486 468648 702972 1405944