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2861040 = 2435713131
BaseRepresentation
bin1010111010011111110000
312101100121110
422322133300
51213023130
6141153320
733214140
oct12723760
95340543
102861040
1116845a6
12b5b840
13792330
14546920
153b7ab0
hex2ba7f0

2861040 has 160 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 599040.

The previous prime is 2861009. The next prime is 2861041. The reversal of 2861040 is 401682.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2860998 and 2861016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21775 + ... + 21905.

22861040 is an apocalyptic number.

2861040 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 2861040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

2861040 is an abundant number, since it is smaller than the sum of its proper divisors (8138256).

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

2861040 is a wasteful number, since it uses less digits than its factorization.

2861040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2861040 is about 1691.4609070268. The cubic root of 2861040 is about 141.9628283316.

It can be divided in two parts, 286 and 1040, that added together give a triangular number (1326 = T51).

The spelling of 2861040 in words is "two million, eight hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 131 140 156 168 182 195 208 210 240 260 262 273 280 312 336 364 390 393 420 455 520 524 546 560 624 655 728 780 786 840 910 917 1040 1048 1092 1310 1365 1456 1560 1572 1680 1703 1820 1834 1965 2096 2184 2620 2730 2751 3120 3144 3406 3640 3668 3930 4368 4585 5109 5240 5460 5502 6288 6812 7280 7336 7860 8515 9170 10218 10480 10920 11004 11921 13624 13755 14672 15720 17030 18340 20436 21840 22008 23842 25545 27248 27510 31440 34060 35763 36680 40872 44016 47684 51090 55020 59605 68120 71526 73360 81744 95368 102180 110040 119210 136240 143052 178815 190736 204360 220080 238420 286104 357630 408720 476840 572208 715260 953680 1430520 2861040