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1054561040 = 245132344087
BaseRepresentation
bin111110110110110…
…101001100010000
32201111100020210022
4332312311030100
54124431423130
6252350523012
735063422661
oct7666651420
92644306708
101054561040
114a12aa355
12255206468
1313a631620
14a00b1368
15628ac7e5
hex3edb5310

1054561040 has 80 divisors (see below), whose sum is σ = 2755323648. Its totient is φ = 372438528.

The previous prime is 1054561033. The next prime is 1054561049. The reversal of 1054561040 is 401654501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10545610402 = 2224197974171763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1054561049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877 + ... + 45963.

Almost surely, 21054561040 is an apocalyptic number.

1054561040 is a gapful number since it is divisible by the number (10) 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 1054561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377661824).

1054561040 is an abundant number, since it is smaller than the sum of its proper divisors (1700762608).

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

1054561040 is a wasteful number, since it uses less digits than its factorization.

1054561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44136 (or 44130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1054561040 is about 32474.0056044831. The cubic root of 1054561040 is about 1017.8659213079.

The spelling of 1054561040 in words is "one billion, fifty-four million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 44087 88174 176348 220435 352696 440870 573131 705392 881740 1014001 1146262 1763480 2028002 2292524 2865655 3526960 4056004 4585048 5070005 5731310 8112008 9170096 10140010 11462620 13182013 16224016 20280020 22925240 26364026 40560040 45850480 52728052 65910065 81120080 105456104 131820130 210912208 263640260 527280520 1054561040