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2072820 = 2235179193
BaseRepresentation
bin111111010000011110100
310220022101010
413322003310
51012312240
6112232220
723422131
oct7720364
93808333
102072820
111196382
1283b670
13577629
143bd588
152ae280
hex1fa0f4

2072820 has 48 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 546816.

The previous prime is 2072809. The next prime is 2072821. The reversal of 2072820 is 282702.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072821) 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, 10644 + ... + 10836.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

22072820 is an apocalyptic number.

2072820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072820 is an abundant number, since it is smaller than the sum of its proper divisors (3793740).

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

2072820 is a wasteful number, since it uses less digits than its factorization.

2072820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2072820 is about 1439.7291411929. The cubic root of 2072820 is about 127.5030372210.

It can be divided in two parts, 207 and 2820, that multiplied together give a triangular number (583740 = T1080).

The spelling of 2072820 in words is "two million, seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 193 358 386 537 579 716 772 895 965 1074 1158 1790 1930 2148 2316 2685 2895 3580 3860 5370 5790 10740 11580 34547 69094 103641 138188 172735 207282 345470 414564 518205 690940 1036410 2072820