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1045701216 = 253271972633
BaseRepresentation
bin111110010101000…
…010001001100000
32200212200010101200
4332111002021200
54120144414331
6251433001200
734625212410
oct7625021140
92625603350
101045701216
114972a888a
12252253200
1313884ba21
149cc46640
1561c0c5e6
hex3e542260

1045701216 has 144 divisors (see below), whose sum is σ = 3417077664. Its totient is φ = 297142272.

The previous prime is 1045701203. The next prime is 1045701247. The reversal of 1045701216 is 6121075401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1045701216.

It is a congruent number.

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, 395836 + ... + 398468.

It is an arithmetic number, because the mean of its divisors is an integer number (23729706).

Almost surely, 21045701216 is an apocalyptic number.

1045701216 is a gapful number since it is divisible by the number (16) 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 1045701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708538832).

1045701216 is an abundant number, since it is smaller than the sum of its proper divisors (2371376448).

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

1045701216 is a wasteful number, since it uses less digits than its factorization.

1045701216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1045701216 is about 32337.3037837108. The cubic root of 1045701216 is about 1015.0073902412.

Adding to 1045701216 its reverse (6121075401), we get a palindrome (7166776617).

The spelling of 1045701216 in words is "one billion, forty-five million, seven hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 197 224 252 288 336 394 504 591 672 788 1008 1182 1379 1576 1773 2016 2364 2633 2758 3152 3546 4137 4728 5266 5516 6304 7092 7899 8274 9456 10532 11032 12411 14184 15798 16548 18431 18912 21064 22064 23697 24822 28368 31596 33096 36862 42128 44128 47394 49644 55293 56736 63192 66192 73724 84256 94788 99288 110586 126384 132384 147448 165879 189576 198576 221172 252768 294896 331758 379152 397152 442344 518701 589792 663516 758304 884688 1037402 1327032 1556103 1769376 2074804 2654064 3112206 3630907 4149608 4668309 5308128 6224412 7261814 8299216 9336618 10892721 12448824 14523628 16598432 18673236 21785442 24897648 29047256 32678163 37346472 43570884 49795296 58094512 65356326 74692944 87141768 116189024 130712652 149385888 174283536 261425304 348567072 522850608 1045701216