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2012885840 = 245719375113
BaseRepresentation
bin111011111111010…
…0011001101010000
312012021121012021102
41313332203031100
513110244321330
6531423043532
7100611150560
oct16776431520
95167535242
102012885840
11943248a19
124821405a8
13261039614
14151490da0
15bbaaa945
hex77fa3350

2012885840 has 160 divisors (see below), whose sum is σ = 5783320320. Its totient is φ = 636014592.

The previous prime is 2012885813. The next prime is 2012885851. The reversal of 2012885840 is 485882102.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2012885794 and 2012885803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391124 + ... + 396236.

It is an arithmetic number, because the mean of its divisors is an integer number (36145752).

Almost surely, 22012885840 is an apocalyptic number.

2012885840 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 2012885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891660160).

2012885840 is an abundant number, since it is smaller than the sum of its proper divisors (3770434480).

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

2012885840 is a wasteful number, since it uses less digits than its factorization.

2012885840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 2012885840 is about 44865.1963107262. The cubic root of 2012885840 is about 1262.6211162438.

The spelling of 2012885840 in words is "two billion, twelve million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 37 38 40 56 70 74 76 80 95 112 133 140 148 152 185 190 259 266 280 296 304 370 380 518 532 560 592 665 703 740 760 1036 1064 1295 1330 1406 1480 1520 2072 2128 2590 2660 2812 2960 3515 4144 4921 5113 5180 5320 5624 7030 9842 10226 10360 10640 11248 14060 19684 20452 20720 24605 25565 28120 35791 39368 40904 49210 51130 56240 71582 78736 81808 97147 98420 102260 143164 178955 189181 194294 196840 204520 286328 357910 378362 388588 393680 409040 485735 572656 680029 715820 756724 777176 945905 971470 1324267 1360058 1431640 1513448 1554352 1891810 1942940 2648534 2720116 2863280 3026896 3400145 3594439 3783620 3885880 5297068 5440232 6621335 6800290 7188878 7567240 7771760 10594136 10880464 13242670 13600580 14377756 15134480 17972195 21188272 25161073 26485340 27201160 28755512 35944390 50322146 52970680 54402320 57511024 71888780 100644292 105941360 125805365 143777560 201288584 251610730 287555120 402577168 503221460 1006442920 2012885840