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1989408 = 253172353
BaseRepresentation
bin111100101101100100000
310202001221210
413211230200
51002130113
6110350120
722624011
oct7455440
93661853
101989408
111139743
127bb340
13548685
1439b008
152946c3
hex1e5b20

1989408 has 96 divisors (see below), whose sum is σ = 5878656. Its totient is φ = 585728.

The previous prime is 1989401. The next prime is 1989413. The reversal of 1989408 is 8049891.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1989401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37510 + ... + 37562.

It is an arithmetic number, because the mean of its divisors is an integer number (61236).

21989408 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 1989408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328).

1989408 is an abundant number, since it is smaller than the sum of its proper divisors (3889248).

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

1989408 is a wasteful number, since it uses less digits than its factorization.

1989408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1989408 is about 1410.4637535222. The cubic root of 1989408 is about 125.7692931255.

The spelling of 1989408 in words is "one million, nine hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 53 68 69 92 96 102 106 136 138 159 184 204 212 272 276 318 368 391 408 424 544 552 636 736 782 816 848 901 1104 1173 1219 1272 1564 1632 1696 1802 2208 2346 2438 2544 2703 3128 3604 3657 4692 4876 5088 5406 6256 7208 7314 9384 9752 10812 12512 14416 14628 18768 19504 20723 21624 28832 29256 37536 39008 41446 43248 58512 62169 82892 86496 117024 124338 165784 248676 331568 497352 663136 994704 1989408