Search a number
-
+
1054745640 = 2332513225373
BaseRepresentation
bin111110110111100…
…010010000101000
32201111200122000100
4332313202100220
54130003330030
6252354505400
735065122114
oct7667422050
92644618010
101054745640
114a1416013
12255295260
1313a697660
14a011c744
15628e7360
hex3ede2428

1054745640 has 96 divisors (see below), whose sum is σ = 3691626120. Its totient is φ = 259628544.

The previous prime is 1054745621. The next prime is 1054745641. The reversal of 1054745640 is 465474501.

1054745640 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 7 + 4 + 5 + 640 = 666.

1054745640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 747584964 + 307160676 = 27342^2 + 17526^2 .

It is a super-2 number, since 2×10547456402 = 2224976730198019200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1054745595 and 1054745604.

It is not an unprimeable number, because it can be changed into a prime (1054745641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108007 + ... + 117366.

Almost surely, 21054745640 is an apocalyptic number.

1054745640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054745640 is an abundant number, since it is smaller than the sum of its proper divisors (2636880480).

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

1054745640 is a wasteful number, since it uses less digits than its factorization.

1054745640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225403 (or 225396 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1054745640 is about 32476.8477534381. The cubic root of 1054745640 is about 1017.9253100264.

The spelling of 1054745640 in words is "one billion, fifty-four million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 225373 450746 676119 901492 1126865 1352238 1802984 2028357 2253730 2704476 2929849 3380595 4056714 4507460 5408952 5859698 6761190 8113428 8789547 9014920 10141785 11719396 13522380 14649245 16226856 17579094 20283570 23438792 26368641 27044760 29298490 35158188 40567140 43947735 52737282 58596980 70316376 81134280 87895470 105474564 117193960 131843205 175790940 210949128 263686410 351581880 527372820 1054745640