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2612020140 = 2232529617811
BaseRepresentation
bin1001101110110000…
…0100001110101100
320202000222101000200
42123230010032230
520322134121030
61111104353500
7121504543032
oct23354041654
96660871020
102612020140
111120465434
1260a915890
133281c1162
141aac90552
151044a6d60
hex9bb043ac

2612020140 has 144 divisors (see below), whose sum is σ = 8219746080. Its totient is φ = 670602240.

The previous prime is 2612020133. The next prime is 2612020141. The reversal of 2612020140 is 410202162.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2612020141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3220335 + ... + 3221145.

It is an arithmetic number, because the mean of its divisors is an integer number (57081570).

Almost surely, 22612020140 is an apocalyptic number.

2612020140 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 2612020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109873040).

2612020140 is an abundant number, since it is smaller than the sum of its proper divisors (5607725940).

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

2612020140 is a wasteful number, since it uses less digits than its factorization.

2612020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2612020140 is about 51107.9263911186. The cubic root of 2612020140 is about 1377.1846509640.

The spelling of 2612020140 in words is "two billion, six hundred twelve million, twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 617 811 870 1044 1234 1305 1622 1740 1851 2433 2468 2610 3085 3244 3702 4055 4866 5220 5553 6170 7299 7404 8110 9255 9732 11106 12165 12340 14598 16220 17893 18510 22212 23519 24330 27765 29196 35786 36495 37020 47038 48660 53679 55530 70557 71572 72990 89465 94076 107358 111060 117595 141114 145980 161037 178930 211671 214716 235190 268395 282228 322074 352785 357860 423342 470380 500387 536790 644148 705570 805185 846684 1000774 1058355 1073580 1411140 1501161 1610370 2001548 2116710 2501935 3002322 3220740 4233420 4503483 5003870 6004644 7505805 9006966 10007740 14511223 15011610 18013932 22517415 29022446 30023220 43533669 45034830 58044892 72556115 87067338 90069660 130601007 145112230 174134676 217668345 261202014 290224460 435336690 522404028 653005035 870673380 1306010070 2612020140