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2069920 = 25517761
BaseRepresentation
bin111111001010110100000
310220011101201
413321112200
51012214140
6112210544
723410516
oct7712640
93804351
102069920
111194186
12839a54
13576208
143bc4b6
152ad49a
hex1f95a0

2069920 has 48 divisors (see below), whose sum is σ = 5184648. Its totient is φ = 778240.

The previous prime is 2069911. The next prime is 2069923. The reversal of 2069920 is 299602.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 824464 = 1116^2 + 908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2340 + ... + 3100.

22069920 is an apocalyptic number.

2069920 is a gapful number since it is divisible by the number (20) 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 2069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592324).

2069920 is an abundant number, since it is smaller than the sum of its proper divisors (3114728).

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

2069920 is a wasteful number, since it uses less digits than its factorization.

2069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 2069920 is about 1438.7216548033. The cubic root of 2069920 is about 127.4435479937.

The spelling of 2069920 in words is "two million, sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 761 1360 1522 2720 3044 3805 6088 7610 12176 12937 15220 24352 25874 30440 51748 60880 64685 103496 121760 129370 206992 258740 413984 517480 1034960 2069920