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1054636380 = 223257978629
BaseRepresentation
bin111110110111000…
…111100101011100
32201111111002010200
4332313013211130
54124441331010
6252352303500
735064155430
oct7667074534
92644432120
101054636380
114a1350a16
12255241b90
1313a6599c5
14a00d09c0
15628c4cc0
hex3edc795c

1054636380 has 144 divisors (see below), whose sum is σ = 3694192320. Its totient is φ = 238546944.

The previous prime is 1054636369. The next prime is 1054636421. The reversal of 1054636380 is 836364501.

1054636380 is a `hidden beast` number, since 1 + 0 + 546 + 36 + 3 + 80 = 666.

It is a super-2 number, since 2×10546363802 = 2224515788039008800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117906 + ... + 126534.

Almost surely, 21054636380 is an apocalyptic number.

1054636380 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 1054636380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847096160).

1054636380 is an abundant number, since it is smaller than the sum of its proper divisors (2639555940).

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

1054636380 is a wasteful number, since it uses less digits than its factorization.

1054636380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1054636380 is about 32475.1655884924. The cubic root of 1054636380 is about 1017.8901602058.

The spelling of 1054636380 in words is "one billion, fifty-four million, six hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8629 8730 10185 12222 13580 17258 17460 20370 24444 25887 30555 34516 40740 43145 51774 60403 61110 77661 86290 103548 120806 122220 129435 155322 172580 181209 241612 258870 302015 310644 362418 388305 517740 543627 604030 724836 776610 837013 906045 1087254 1208060 1553220 1674026 1812090 2174508 2511039 2718135 3348052 3624180 4185065 5022078 5436270 5859091 7533117 8370130 10044156 10872540 11718182 12555195 15066234 16740260 17577273 23436364 25110390 29295455 30132468 35154546 37665585 50220780 52731819 58590910 70309092 75331170 87886365 105463638 117181820 150662340 175772730 210927276 263659095 351545460 527318190 1054636380