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1116988416 = 21032196379
BaseRepresentation
bin100001010010011…
…1110010000000000
32212211210220001100
41002210332100000
54241422112131
6302500534400
736452146665
oct10244762000
92784726040
101116988416
11523568a25
122720b1400
1314a54b3bb
14a84c1a6c
15680de7e6
hex4293e400

1116988416 has 132 divisors (see below), whose sum is σ = 3395563600. Its totient is φ = 352677888.

The previous prime is 1116988381. The next prime is 1116988429. The reversal of 1116988416 is 6148896111.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171915 + ... + 178293.

Almost surely, 21116988416 is an apocalyptic number.

1116988416 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 1116988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697781800).

1116988416 is an abundant number, since it is smaller than the sum of its proper divisors (2278575184).

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

1116988416 is a wasteful number, since it uses less digits than its factorization.

1116988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6403 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1116988416 is about 33421.3766323292. The cubic root of 1116988416 is about 1037.5671733930.

The spelling of 1116988416 in words is "one billion, one hundred sixteen million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2304 2432 2736 3072 3648 4608 4864 5472 6379 7296 9216 9728 10944 12758 14592 19137 19456 21888 25516 29184 38274 43776 51032 57411 58368 76548 87552 102064 114822 121201 153096 175104 204128 229644 242402 306192 363603 408256 459288 484804 612384 727206 816512 918576 969608 1090809 1224768 1454412 1633024 1837152 1939216 2181618 2449536 2908824 3266048 3674304 3878432 4363236 4899072 5817648 6532096 7348608 7756864 8726472 9798144 11635296 14697216 15513728 17452944 19596288 23270592 29394432 31027456 34905888 46541184 58788864 62054912 69811776 93082368 124109824 139623552 186164736 279247104 372329472 558494208 1116988416