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1054540350 = 23352978053
BaseRepresentation
bin111110110110110…
…000001000111110
32201111022012102000
4332312300020332
54124430242400
6252350243130
735063305443
oct7666601076
92644265360
101054540350
114a1295856
122551b64a6
1313a625096
14a00a79ca
15628a6600
hex3edb023e

1054540350 has 96 divisors (see below), whose sum is σ = 2936166240. Its totient is φ = 278277120.

The previous prime is 1054540349. The next prime is 1054540391. The reversal of 1054540350 is 530454501.

It is a super-2 number, since 2×10545403502 = 2224110699556245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 126924 + ... + 134976.

It is an arithmetic number, because the mean of its divisors is an integer number (30585065).

Almost surely, 21054540350 is an apocalyptic number.

1054540350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054540350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468083120).

1054540350 is an abundant number, since it is smaller than the sum of its proper divisors (1881625890).

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

1054540350 is a wasteful number, since it uses less digits than its factorization.

1054540350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1054540350 is about 32473.6870404332. The cubic root of 1054540350 is about 1017.8592645781.

Adding to 1054540350 its reverse (530454501), we get a palindrome (1584994851).

The spelling of 1054540350 in words is "one billion, fifty-four million, five hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 97 135 150 194 225 270 291 450 485 582 675 873 970 1350 1455 1746 2425 2619 2910 4365 4850 5238 7275 8053 8730 13095 14550 16106 21825 24159 26190 40265 43650 48318 65475 72477 80530 120795 130950 144954 201325 217431 241590 362385 402650 434862 603975 724770 781141 1087155 1207950 1562282 1811925 2174310 2343423 3623850 3905705 4686846 5435775 7030269 7811410 10871550 11717115 14060538 19528525 21090807 23434230 35151345 39057050 42181614 58585575 70302690 105454035 117171150 175756725 210908070 351513450 527270175 1054540350