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1041406240 = 25572932063
BaseRepresentation
bin111110000100101…
…001100100100000
32200120120220210111
4332010221210200
54113044444430
6251200541104
734543543540
oct7604514440
92616526714
101041406240
11494934a16
12250921794
131379a6b14
149c449320
156165ec2a
hex3e129920

1041406240 has 96 divisors (see below), whose sum is σ = 2908846080. Its totient is φ = 344730624.

The previous prime is 1041406237. The next prime is 1041406241. The reversal of 1041406240 is 426041401.

It is not an unprimeable number, because it can be changed into a prime (1041406241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16449 + ... + 48511.

It is an arithmetic number, because the mean of its divisors is an integer number (30300480).

Almost surely, 21041406240 is an apocalyptic number.

1041406240 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 1041406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454423040).

1041406240 is an abundant number, since it is smaller than the sum of its proper divisors (1867439840).

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

1041406240 is a wasteful number, since it uses less digits than its factorization.

1041406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32114 (or 32106 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1041406240 is about 32270.8264536253. The cubic root of 1041406240 is about 1013.6158472829.

Adding to 1041406240 its reverse (426041401), we get a palindrome (1467447641).

The spelling of 1041406240 in words is "one billion, forty-one million, four hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 32063 32480 64126 128252 160315 224441 256504 320630 448882 513008 641260 897764 929827 1026016 1122205 1282520 1795528 1859654 2244410 2565040 3591056 3719308 4488820 4649135 5130080 6508789 7182112 7438616 8977640 9298270 13017578 14877232 17955280 18596540 26035156 29754464 32543945 35910560 37193080 52070312 65087890 74386160 104140624 130175780 148772320 208281248 260351560 520703120 1041406240