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3089920 = 2951771
BaseRepresentation
bin1011110010011000000000
312210222120111
423302120000
51242334140
6150121104
735156341
oct13623000
95728514
103089920
111820559
121050194
13842572
145a60c8
154107ea
hex2f2600

3089920 has 80 divisors (see below), whose sum is σ = 7954848. Its totient is φ = 1146880.

The previous prime is 3089909. The next prime is 3089923. The reversal of 3089920 is 299803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3089923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43485 + ... + 43555.

Almost surely, 23089920 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 3089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424).

3089920 is an abundant number, since it is smaller than the sum of its proper divisors (4864928).

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

3089920 is an equidigital number, since it uses as much as digits as its factorization.

3089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 3089920 is about 1757.8168277725. The cubic root of 3089920 is about 145.6517627813.

The spelling of 3089920 in words is "three million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 71 80 85 128 136 142 160 170 256 272 284 320 340 355 512 544 568 640 680 710 1088 1136 1207 1280 1360 1420 2176 2272 2414 2560 2720 2840 4352 4544 4828 5440 5680 6035 8704 9088 9656 10880 11360 12070 18176 19312 21760 22720 24140 36352 38624 43520 45440 48280 77248 90880 96560 154496 181760 193120 308992 386240 617984 772480 1544960 3089920