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1054012520 = 2351121111353
BaseRepresentation
bin111110110100101…
…111010001101000
32201110022101100202
4332310233101220
54124311400040
6252331051332
735055646541
oct7664572150
92643271322
101054012520
114a0a65230
12254ba0b48
1313a49ba62
149ddab4c8
1562800015
hex3ed2f468

1054012520 has 64 divisors (see below), whose sum is σ = 2599611840. Its totient is φ = 381427200.

The previous prime is 1054012489. The next prime is 1054012523. The reversal of 1054012520 is 252104501.

It is a super-2 number, since 2×10540125202 = 2221884784633500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1054012492 and 1054012501.

It is not an unprimeable number, because it can be changed into a prime (1054012523) 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, 87164 + ... + 98516.

It is an arithmetic number, because the mean of its divisors is an integer number (40618935).

Almost surely, 21054012520 is an apocalyptic number.

1054012520 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 1054012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299805920).

1054012520 is an abundant number, since it is smaller than the sum of its proper divisors (1545599320).

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

1054012520 is a wasteful number, since it uses less digits than its factorization.

1054012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11586 (or 11582 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1054012520 is about 32465.5589817887. The cubic root of 1054012520 is about 1017.6894129081.

The spelling of 1054012520 in words is "one billion, fifty-four million, twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 844 1055 1688 2110 2321 4220 4642 8440 9284 11353 11605 18568 22706 23210 45412 46420 56765 90824 92840 113530 124883 227060 249766 454120 499532 624415 999064 1248830 2395483 2497660 4790966 4995320 9581932 11977415 19163864 23954830 26350313 47909660 52700626 95819320 105401252 131751565 210802504 263503130 527006260 1054012520