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1113977216 = 27112341839
BaseRepresentation
bin100001001100101…
…1111000110000000
32212122010220110102
41002121133012000
54240134232331
6302312221532
736414435662
oct10231370600
92778126412
101113977216
115218a1630
1227109a8a8
13149a35921
14a7d3a532
1567be74cb
hex4265f180

1113977216 has 128 divisors (see below), whose sum is σ = 2590963200. Its totient is φ = 471961600.

The previous prime is 1113977209. The next prime is 1113977273. The reversal of 1113977216 is 6127793111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11139772162 = 2481890475534221312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1113977216.

It is a congruent number.

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, 1327325 + ... + 1328163.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 21113977216 is an apocalyptic number.

1113977216 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 1113977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

1113977216 is an abundant number, since it is smaller than the sum of its proper divisors (1476985984).

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

1113977216 is a wasteful number, since it uses less digits than its factorization.

1113977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its digits is 15876, while the sum is 38.

The square root of 1113977216 is about 33376.2972182356. The cubic root of 1113977216 is about 1036.6339694382.

The spelling of 1113977216 in words is "one billion, one hundred thirteen million, nine hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 128 164 176 184 253 328 352 368 451 506 656 704 736 839 902 943 1012 1312 1408 1472 1678 1804 1886 2024 2624 2944 3356 3608 3772 4048 5248 6712 7216 7544 8096 9229 10373 13424 14432 15088 16192 18458 19297 20746 26848 28864 30176 32384 34399 36916 38594 41492 53696 57728 60352 68798 73832 77188 82984 107392 120704 137596 147664 154376 165968 212267 275192 295328 308752 331936 378389 424534 550384 590656 617504 663872 756778 791177 849068 1100768 1181312 1235008 1327744 1513556 1582354 1698136 2201536 2470016 3027112 3164708 3396272 4403072 6054224 6329416 6792544 8702947 12108448 12658832 13585088 17405894 24216896 25317664 27170176 34811788 48433792 50635328 69623576 101270656 139247152 278494304 556988608 1113977216