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2055333540 = 223513672587
BaseRepresentation
bin111101010000001…
…1110011010100100
312022020110202120110
41322200132122210
513202131133130
6535540533020
7101635022031
oct17240363244
95266422513
102055333540
11965200567
124943b1170
13269a7c2c0
14156d80388
15c0692ab0
hex7a81e6a4

2055333540 has 144 divisors (see below), whose sum is σ = 6302221632. Its totient is φ = 497528064.

The previous prime is 2055333529. The next prime is 2055333551. The reversal of 2055333540 is 453335502.

It is an interprime number because it is at equal distance from previous prime (2055333529) and next prime (2055333551).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2055333498 and 2055333507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3501127 + ... + 3501713.

It is an arithmetic number, because the mean of its divisors is an integer number (43765428).

Almost surely, 22055333540 is an apocalyptic number.

2055333540 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 2055333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151110816).

2055333540 is an abundant number, since it is smaller than the sum of its proper divisors (4246888092).

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

2055333540 is a wasteful number, since it uses less digits than its factorization.

2055333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 2055333540 is about 45335.7865267605. The cubic root of 2055333540 is about 1271.4348261516.

The spelling of 2055333540 in words is "two billion, fifty-five million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 587 670 780 804 871 1005 1174 1340 1742 1761 2010 2348 2613 2935 3484 3522 4020 4355 4489 5226 5870 7044 7631 8710 8805 8978 10452 11740 13065 13467 15262 17420 17610 17956 22445 22893 26130 26934 30524 35220 38155 39329 44890 45786 52260 53868 58357 67335 76310 78658 89780 91572 114465 116714 117987 134670 152620 157316 175071 196645 228930 233428 235974 269340 291785 350142 393290 457860 471948 511277 583570 589935 700284 786580 875355 1022554 1167140 1179870 1533831 1750710 2045108 2359740 2556385 2635043 3067662 3501420 5112770 5270086 6135324 7669155 7905129 10225540 10540172 13175215 15338310 15810258 26350430 30676620 31620516 34255559 39525645 52700860 68511118 79051290 102766677 137022236 158102580 171277795 205533354 342555590 411066708 513833385 685111180 1027666770 2055333540