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2012920 = 235721379
BaseRepresentation
bin111101011011011111000
310210021012121
413223123320
51003403140
6111051024
723052400
oct7533370
93707177
102012920
111155378
12810a74
135562a0
143a5800
1529b64a
hex1eb6f8

2012920 has 96 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 628992.

The previous prime is 2012909. The next prime is 2012951. The reversal of 2012920 is 292102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012894 and 2012903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25441 + ... + 25519.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

22012920 is an apocalyptic number.

2012920 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 2012920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2012920 is an abundant number, since it is smaller than the sum of its proper divisors (3732680).

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

2012920 is a wasteful number, since it uses less digits than its factorization.

2012920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2012920 is about 1418.7741187377. The cubic root of 2012920 is about 126.2628258708.

The spelling of 2012920 in words is "two million, twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 79 91 98 104 130 140 158 182 196 245 260 280 316 364 392 395 455 490 520 553 632 637 728 790 910 980 1027 1106 1274 1580 1820 1960 2054 2212 2548 2765 3160 3185 3640 3871 4108 4424 5096 5135 5530 6370 7189 7742 8216 10270 11060 12740 14378 15484 19355 20540 22120 25480 28756 30968 35945 38710 41080 50323 57512 71890 77420 100646 143780 154840 201292 251615 287560 402584 503230 1006460 2012920