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1041410400 = 253523971093
BaseRepresentation
bin111110000100101…
…010100101100000
32200120121010111120
4332010222211200
54113100113100
6251201012240
734543561632
oct7604524540
92616533446
101041410400
11494938058
12250924080
131379a8994
149c44aa52
15616610a0
hex3e12a960

1041410400 has 144 divisors (see below), whose sum is σ = 3401438544. Its totient is φ = 276756480.

The previous prime is 1041410371. The next prime is 1041410401. The reversal of 1041410400 is 40141401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1041410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041410401) 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, 952254 + ... + 953346.

It is an arithmetic number, because the mean of its divisors is an integer number (23621101).

Almost surely, 21041410400 is an apocalyptic number.

1041410400 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 1041410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700719272).

1041410400 is an abundant number, since it is smaller than the sum of its proper divisors (2360028144).

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

1041410400 is a wasteful number, since it uses less digits than its factorization.

1041410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1041410400 is about 32270.8909080614. The cubic root of 1041410400 is about 1013.6171969440.

Adding to 1041410400 its reverse (40141401), we get a palindrome (1081551801).

The spelling of 1041410400 in words is "one billion, forty-one million, four hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 397 400 480 600 794 800 1093 1191 1200 1588 1985 2186 2382 2400 3176 3279 3970 4372 4764 5465 5955 6352 6558 7940 8744 9528 9925 10930 11910 12704 13116 15880 16395 17488 19056 19850 21860 23820 26232 27325 29775 31760 32790 34976 38112 39700 43720 47640 52464 54650 59550 63520 65580 79400 81975 87440 95280 104928 109300 119100 131160 158800 163950 174880 190560 218600 238200 262320 317600 327900 433921 437200 476400 524640 655800 867842 874400 952800 1301763 1311600 1735684 2169605 2603526 2623200 3471368 4339210 5207052 6508815 6942736 8678420 10414104 10848025 13017630 13885472 17356840 20828208 21696050 26035260 32544075 34713680 41656416 43392100 52070520 65088150 69427360 86784200 104141040 130176300 173568400 208282080 260352600 347136800 520705200 1041410400