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1016513696 = 2511107137197
BaseRepresentation
bin111100100101101…
…100010010100000
32121211202020122102
4330211230102200
54040211414241
6244511225532
734122136532
oct7445542240
92554666572
101016513696
11481882870
122445182a8
1313279c7c3
1499009852
155e39439b
hex3c96c4a0

1016513696 has 96 divisors (see below), whose sum is σ = 2230949952. Its totient is φ = 452085760.

The previous prime is 1016513677. The next prime is 1016513741. The reversal of 1016513696 is 6963156101.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5159870 + ... + 5160066.

It is an arithmetic number, because the mean of its divisors is an integer number (23239062).

Almost surely, 21016513696 is an apocalyptic number.

1016513696 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 1016513696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115474976).

1016513696 is an abundant number, since it is smaller than the sum of its proper divisors (1214436256).

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

1016513696 is a wasteful number, since it uses less digits than its factorization.

1016513696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 1016513696 is about 31882.8119211590. The cubic root of 1016513696 is about 1005.4745400528.

Adding to 1016513696 its reverse (6963156101), we get a palindrome (7979669797).

The spelling of 1016513696 in words is "one billion, sixteen million, five hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 137 176 197 214 274 352 394 428 548 788 856 1096 1177 1507 1576 1712 2167 2192 2354 3014 3152 3424 4334 4384 4708 6028 6304 8668 9416 12056 14659 17336 18832 21079 24112 26989 29318 34672 37664 42158 48224 53978 58636 69344 84316 107956 117272 161249 168632 215912 231869 234544 296879 322498 337264 431824 463738 469088 593758 644996 674528 863648 927476 1187516 1289992 1854952 2375032 2579984 2887823 3709904 4750064 5159968 5775646 7419808 9500128 11551292 23102584 31766053 46205168 63532106 92410336 127064212 254128424 508256848 1016513696