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2054403520 = 265133531399
BaseRepresentation
bin111101001110011…
…1011010111000000
312022011201111211021
41322130323113000
513201411403040
6535504555224
7101624066431
oct17234732700
95264644737
102054403520
11964725854
12494022b14
13269814bb0
14156bbb488
15c055c24a
hex7a73b5c0

2054403520 has 112 divisors (see below), whose sum is σ = 5287060800. Its totient is φ = 755859456.

The previous prime is 2054403497. The next prime is 2054403521. The reversal of 2054403520 is 253044502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054403521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467781 + ... + 1469179.

It is an arithmetic number, because the mean of its divisors is an integer number (47205900).

Almost surely, 22054403520 is an apocalyptic number.

2054403520 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 2054403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643530400).

2054403520 is an abundant number, since it is smaller than the sum of its proper divisors (3232657280).

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

2054403520 is a wasteful number, since it uses less digits than its factorization.

2054403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2054403520 is about 45325.5283477203. The cubic root of 2054403520 is about 1271.2430262661.

The spelling of 2054403520 in words is "two billion, fifty-four million, four hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 353 416 520 706 832 1040 1399 1412 1765 2080 2798 2824 3530 4160 4589 5596 5648 6995 7060 9178 11192 11296 13990 14120 18187 18356 22384 22592 22945 27980 28240 36374 36712 44768 45890 55960 56480 72748 73424 89536 90935 91780 111920 112960 145496 146848 181870 183560 223840 290992 293696 363740 367120 447680 493847 581984 727480 734240 987694 1163968 1454960 1468480 1975388 2469235 2909920 3950776 4938470 5819840 6420011 7901552 9876940 12840022 15803104 19753880 25680044 31606208 32100055 39507760 51360088 64200110 79015520 102720176 128400220 158031040 205440352 256800440 410880704 513600880 1027201760 2054403520