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2026640 = 245721147
BaseRepresentation
bin111101110110010010000
310210222000202
413232302100
51004323030
6111234332
723140400
oct7566220
93728022
102026640
111164710
128189a8
1355c5c5
143aa800
152a0745
hex1eec90

2026640 has 120 divisors (see below), whose sum is σ = 6106752. Its totient is φ = 618240.

The previous prime is 2026639. The next prime is 2026663. The reversal of 2026640 is 466202.

2026640 = T55 + T56 + ... + T230.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43097 + ... + 43143.

22026640 is an apocalyptic number.

2026640 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 2026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376).

2026640 is an abundant number, since it is smaller than the sum of its proper divisors (4080112).

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

2026640 is a wasteful number, since it uses less digits than its factorization.

2026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2026640 is about 1423.6010677153. The cubic root of 2026640 is about 126.5490443959.

The spelling of 2026640 in words is "two million, twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 47 49 55 56 70 77 80 88 94 98 110 112 140 154 176 188 196 220 235 245 280 308 329 376 385 392 440 470 490 517 539 560 616 658 752 770 784 880 940 980 1034 1078 1232 1316 1540 1645 1880 1960 2068 2156 2303 2585 2632 2695 3080 3290 3619 3760 3920 4136 4312 4606 5170 5264 5390 6160 6580 7238 8272 8624 9212 10340 10780 11515 13160 14476 18095 18424 20680 21560 23030 25333 26320 28952 36190 36848 41360 43120 46060 50666 57904 72380 92120 101332 126665 144760 184240 202664 253330 289520 405328 506660 1013320 2026640