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5410341200 = 2452111964717
BaseRepresentation
bin1010000100111101…
…10100000101010000
3111222001111210212102
411002132310011100
542040021404300
62252510215532
7251034066335
oct50236640520
914861453772
105410341200
112326aa6470
12106bab45a8
13682b81134
1439479898c
15219eae0d5
hex1427b4150

5410341200 has 120 divisors (see below), whose sum is σ = 14926559520. Its totient is φ = 1863820800.

The previous prime is 5410341193. The next prime is 5410341203. The reversal of 5410341200 is 21430145.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410341203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51242 + ... + 115958.

It is an arithmetic number, because the mean of its divisors is an integer number (124387996).

Almost surely, 25410341200 is an apocalyptic number.

5410341200 is a gapful number since it is divisible by the number (50) 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 5410341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463279760).

5410341200 is an abundant number, since it is smaller than the sum of its proper divisors (9516218320).

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

5410341200 is a wasteful number, since it uses less digits than its factorization.

5410341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64765 (or 64754 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5410341200 is about 73555.0215824861. The cubic root of 5410341200 is about 1755.5298492441.

Adding to 5410341200 its reverse (21430145), we get a palindrome (5431771345).

The spelling of 5410341200 in words is "five billion, four hundred ten million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 64717 83600 129434 258868 323585 517736 647170 711887 1035472 1229623 1294340 1423774 1617925 2459246 2588680 2847548 3235850 3559435 4918492 5177360 5695096 6148115 6471700 7118870 9836984 11390192 12296230 12943400 13525853 14237740 17797175 19673968 24592460 25886800 27051706 28475480 30740575 35594350 49184920 54103412 56950960 61481150 67629265 71188700 98369840 108206824 122962300 135258530 142377400 216413648 245924600 270517060 284754800 338146325 491849200 541034120 676292650 1082068240 1352585300 2705170600 5410341200