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2029080 = 233537457
BaseRepresentation
bin111101111011000011000
310211002101010
413233120120
51004412310
6111253520
723150454
oct7573030
93732333
102029080
111166529
1281a2a0
13560751
143ab664
152a1320
hex1ef618

2029080 has 64 divisors (see below), whose sum is σ = 6265440. Its totient is φ = 525312.

The previous prime is 2029073. The next prime is 2029081. The reversal of 2029080 is 809202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029081) 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, 4212 + ... + 4668.

22029080 is an apocalyptic number.

2029080 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 2029080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132720).

2029080 is an abundant number, since it is smaller than the sum of its proper divisors (4236360).

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

2029080 is a wasteful number, since it uses less digits than its factorization.

2029080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2029080 is about 1424.4577915825. The cubic root of 2029080 is about 126.5998108256.

The spelling of 2029080 in words is "two million, twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 457 555 740 888 914 1110 1371 1480 1828 2220 2285 2742 3656 4440 4570 5484 6855 9140 10968 13710 16909 18280 27420 33818 50727 54840 67636 84545 101454 135272 169090 202908 253635 338180 405816 507270 676360 1014540 2029080