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1114568416 = 251317173911
BaseRepresentation
bin100001001101110…
…1111011011100000
32212200020221102201
41002123233123200
54240312142131
6302333022544
736422450413
oct10233573340
92780227381
101114568416
11522165825
12271324a54
13149bb1a50
14a8051b7a
1567cb2761
hex426ef6e0

1114568416 has 96 divisors (see below), whose sum is σ = 2519330688. Its totient is φ = 480829440.

The previous prime is 1114568407. The next prime is 1114568417. The reversal of 1114568416 is 6148654111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114568417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223001 + ... + 1223911.

It is an arithmetic number, because the mean of its divisors is an integer number (26243028).

Almost surely, 21114568416 is an apocalyptic number.

1114568416 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 1114568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259665344).

1114568416 is an abundant number, since it is smaller than the sum of its proper divisors (1404762272).

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

1114568416 is a wasteful number, since it uses less digits than its factorization.

1114568416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 1114568416 is about 33385.1526280771. The cubic root of 1114568416 is about 1036.8173213683.

The spelling of 1114568416 in words is "one billion, one hundred fourteen million, five hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 173 208 221 272 346 416 442 544 692 884 911 1384 1768 1822 2249 2768 2941 3536 3644 4498 5536 5882 7072 7288 8996 11764 11843 14576 15487 17992 23528 23686 29152 30974 35984 38233 47056 47372 61948 71968 76466 94112 94744 123896 152932 157603 189488 201331 247792 305864 315206 378976 402662 495584 611728 630412 805324 1223456 1260824 1610648 2048839 2521648 2679251 3221296 4097678 5043296 5358502 6442592 8195356 10717004 16390712 21434008 32781424 34830263 42868016 65562848 69660526 85736032 139321052 278642104 557284208 1114568416