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2064960 = 26335239
BaseRepresentation
bin111111000001001000000
310212220121000
413320021000
51012034320
6112132000
723360202
oct7701100
93786530
102064960
111190487
12837000
13573b91
143ba772
152abc90
hex1f8240

2064960 has 112 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 548352.

The previous prime is 2064949. The next prime is 2064961. The reversal of 2064960 is 694602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2064961) 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, 8521 + ... + 8759.

22064960 is an apocalyptic number.

2064960 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 2064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

2064960 is an abundant number, since it is smaller than the sum of its proper divisors (5250240).

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

2064960 is a wasteful number, since it uses less digits than its factorization.

2064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2064960 is about 1436.9968684726. The cubic root of 2064960 is about 127.3416719836.

It can be divided in two parts, 20 and 64960, that added together give a triangular number (64980 = T360).

The spelling of 2064960 in words is "two million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 239 240 270 288 320 360 432 478 480 540 576 717 720 864 956 960 1080 1195 1434 1440 1728 1912 2151 2160 2390 2868 2880 3585 3824 4302 4320 4780 5736 6453 7170 7648 8604 8640 9560 10755 11472 12906 14340 15296 17208 19120 21510 22944 25812 28680 32265 34416 38240 43020 45888 51624 57360 64530 68832 76480 86040 103248 114720 129060 137664 172080 206496 229440 258120 344160 412992 516240 688320 1032480 2064960