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1114013628 = 2233721316193
BaseRepresentation
bin100001001100110…
…0111111110111100
32212122012202102000
41002121213332330
54240141414003
6302313102300
736414650100
oct10231477674
92778182360
101114013628
11521916a22
122710b7990
13149a49380
14a7d49900
1567c031a3
hex42667fbc

1114013628 has 144 divisors (see below), whose sum is σ = 3618387360. Its totient is φ = 293787648.

The previous prime is 1114013609. The next prime is 1114013639. The reversal of 1114013628 is 8263104111.

It is a happy number.

1114013628 is a `hidden beast` number, since 11 + 14 + 0 + 13 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60700 + ... + 76892.

It is an arithmetic number, because the mean of its divisors is an integer number (25127690).

Almost surely, 21114013628 is an apocalyptic number.

1114013628 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 1114013628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809193680).

1114013628 is an abundant number, since it is smaller than the sum of its proper divisors (2504373732).

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

1114013628 is a wasteful number, since it uses less digits than its factorization.

1114013628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16233 (or 16218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1114013628 is about 33376.8426907040. The cubic root of 1114013628 is about 1036.6452639555.

Adding to 1114013628 its reverse (8263104111), we get a palindrome (9377117739).

The spelling of 1114013628 in words is "one billion, one hundred fourteen million, thirteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 16193 17199 22932 32386 34398 48579 64772 68796 97158 113351 145737 194316 210509 226702 291474 340053 421018 437211 453404 582948 631527 680106 793457 842036 874422 1020159 1263054 1360212 1473563 1586914 1748844 1894581 2040318 2380371 2526108 2947126 3060477 3173828 3789162 4080636 4420689 4760742 5683743 5894252 6120954 7141113 7578324 8841378 9521484 10314941 11367486 12241908 13262067 14282226 17682756 20629882 21423339 22734972 26524134 28564452 30944823 39786201 41259764 42846678 53048268 61889646 79572402 85693356 92834469 123779292 159144804 185668938 278503407 371337876 557006814 1114013628