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1045130416 = 241119378447
BaseRepresentation
bin111110010010110…
…110110010110000
32200211121010101221
4332102312302300
54120023133131
6251412434424
734620314311
oct7622666260
92624533357
101045130416
11496a48a50
12252018a14
131386abc85
149cb38608
1561b48411
hex3e4b6cb0

1045130416 has 80 divisors (see below), whose sum is σ = 2388418560. Its totient is φ = 437840640.

The previous prime is 1045130377. The next prime is 1045130423. The reversal of 1045130416 is 6140315401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119505 + ... + 127951.

It is an arithmetic number, because the mean of its divisors is an integer number (29855232).

Almost surely, 21045130416 is an apocalyptic number.

1045130416 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 1045130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194209280).

1045130416 is an abundant number, since it is smaller than the sum of its proper divisors (1343288144).

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

1045130416 is a wasteful number, since it uses less digits than its factorization.

1045130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1045130416 is about 32328.4768586458. The cubic root of 1045130416 is about 1014.8226747419.

Adding to 1045130416 its reverse (6140315401), we get a palindrome (7185445817).

The spelling of 1045130416 in words is "one billion, forty-five million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 37 38 44 74 76 88 148 152 176 209 296 304 407 418 592 703 814 836 1406 1628 1672 2812 3256 3344 5624 6512 7733 8447 11248 15466 16894 30932 33788 61864 67576 92917 123728 135152 160493 185834 312539 320986 371668 625078 641972 743336 1250156 1283944 1486672 1765423 2500312 2567888 3437929 3530846 5000624 5938241 6875858 7061692 11876482 13751716 14123384 23752964 27503432 28246768 47505928 55006864 65320651 95011856 130641302 261282604 522565208 1045130416