Search a number
-
+
1054551540 = 223572358691
BaseRepresentation
bin111110110110110…
…010110111110100
32201111022202202110
4332312302313310
54124431122130
6252350411020
735063353200
oct7666626764
92644282673
101054551540
114a12a31a9
12255200a70
1313a62a1c3
14a00abb00
15628a9ab0
hex3edb2df4

1054551540 has 72 divisors (see below), whose sum is σ = 3434834592. Its totient is φ = 241039680.

The previous prime is 1054551527. The next prime is 1054551559. The reversal of 1054551540 is 451554501.

It is a super-2 number, since 2×10545515402 = 2224157901032743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1054551498 and 1054551507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176406 + ... + 182285.

It is an arithmetic number, because the mean of its divisors is an integer number (47706036).

Almost surely, 21054551540 is an apocalyptic number.

1054551540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054551540 is an abundant number, since it is smaller than the sum of its proper divisors (2380283052).

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

1054551540 is a wasteful number, since it uses less digits than its factorization.

1054551540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358717 (or 358708 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 1054551540 is about 32473.8593333161. The cubic root of 1054551540 is about 1017.8628648212.

The spelling of 1054551540 in words is "one billion, fifty-four million, five hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 358691 717382 1076073 1434764 1793455 2152146 2510837 3586910 4304292 5021674 5380365 7173820 7532511 10043348 10760730 12554185 15065022 17575859 21521460 25108370 30130044 35151718 37662555 50216740 52727577 70303436 75325110 87879295 105455154 150650220 175758590 210910308 263637885 351517180 527275770 1054551540