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1114397928 = 233275341719
BaseRepresentation
bin100001001101100…
…0101110011101000
32212122221021120100
41002123011303220
54240241213203
6302325225400
736421140360
oct10233056350
92778837510
101114397928
11522059726
12271262260
13149b52277
14a80099a0
1567c7bea3
hex426c5ce8

1114397928 has 96 divisors (see below), whose sum is σ = 3514492800. Its totient is φ = 312384384.

The previous prime is 1114397927. The next prime is 1114397929. The reversal of 1114397928 is 8297934111.

It is an interprime number because it is at equal distance from previous prime (1114397927) and next prime (1114397929).

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

It is not an unprimeable number, because it can be changed into a prime (1114397927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5853 + ... + 47571.

It is an arithmetic number, because the mean of its divisors is an integer number (36609300).

Almost surely, 21114397928 is an apocalyptic number.

1114397928 is a gapful number since it is divisible by the number (18) 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 1114397928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757246400).

1114397928 is an abundant number, since it is smaller than the sum of its proper divisors (2400094872).

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

1114397928 is a wasteful number, since it uses less digits than its factorization.

1114397928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41791 (or 41784 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1114397928 is about 33382.5991798122. The cubic root of 1114397928 is about 1036.7644536924.

The spelling of 1114397928 in words is "one billion, one hundred fourteen million, three hundred ninety-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8904 13356 26712 41719 83438 125157 166876 250314 292033 333752 375471 500628 584066 750942 876099 1001256 1168132 1501884 1752198 2211107 2336264 2628297 3003768 3504396 4422214 5256594 6633321 7008792 8844428 10513188 13266642 15477749 17688856 19899963 21026376 26533284 30955498 39799926 46433247 53066568 61910996 79599852 92866494 123821992 139299741 159199704 185732988 278599482 371465976 557198964 1114397928