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1041421200 = 243526712953
BaseRepresentation
bin111110000100101…
…101001110010000
32200120121200022120
4332010231032100
54113100434300
6251201134240
734543635261
oct7604551620
92616550276
101041421200
11494945186
1225092a380
131379b0881
149c450968
15616643a0
hex3e12d390

1041421200 has 120 divisors (see below), whose sum is σ = 3386071968. Its totient is φ = 273546240.

The previous prime is 1041421193. The next prime is 1041421211. The reversal of 1041421200 is 21241401.

It is a tau number, because it is divible by the number of its divisors (120).

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 1041421200.

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, 73924 + ... + 86876.

Almost surely, 21041421200 is an apocalyptic number.

1041421200 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 1041421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693035984).

1041421200 is an abundant number, since it is smaller than the sum of its proper divisors (2344650768).

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

1041421200 is a wasteful number, since it uses less digits than its factorization.

1041421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13041 (or 13030 counting only the distinct ones).

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

The square root of 1041421200 is about 32271.0582410927. The cubic root of 1041421200 is about 1013.6207008549.

Adding to 1041421200 its reverse (21241401), we get a palindrome (1062662601).

The spelling of 1041421200 in words is "one billion, forty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 12953 13400 16080 20100 25906 26800 38859 40200 51812 64765 77718 80400 103624 129530 155436 194295 207248 259060 310872 323825 388590 518120 621744 647650 777180 867851 971475 1036240 1295300 1554360 1735702 1942950 2590600 2603553 3108720 3471404 3885900 4339255 5181200 5207106 6942808 7771800 8678510 10414212 13017765 13885616 15543600 17357020 20828424 21696275 26035530 34714040 41656848 43392550 52071060 65088825 69428080 86785100 104142120 130177650 173570200 208284240 260355300 347140400 520710600 1041421200