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1105035414 = 237233743719
BaseRepresentation
bin100000111011101…
…1000000010010110
32212000022121121120
41001313120002112
54230342113124
6301352424410
736245434410
oct10167300226
92760277546
101105035414
1151784450a
1226a0a8106
13147c24912
14a6a8d9b0
156702cd79
hex41dd8096

1105035414 has 128 divisors (see below), whose sum is σ = 2773647360. Its totient is φ = 286602624.

The previous prime is 1105035413. The next prime is 1105035427. The reversal of 1105035414 is 4145305011.

It is a happy number.

It is a super-2 number, since 2×11050354142 = 2442206532388302792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105035413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1536547 + ... + 1537265.

It is an arithmetic number, because the mean of its divisors is an integer number (21669120).

Almost surely, 21105035414 is an apocalyptic number.

1105035414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105035414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386823680).

1105035414 is an abundant number, since it is smaller than the sum of its proper divisors (1668611946).

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

1105035414 is a wasteful number, since it uses less digits than its factorization.

1105035414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1105035414 is about 33242.0729498026. The cubic root of 1105035414 is about 1033.8528567834.

It can be divided in two parts, 11050 and 35414, that added together give a palindrome (46464).

The spelling of 1105035414 in words is "one billion, one hundred five million, thirty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 37 42 43 46 69 74 86 111 129 138 161 222 258 259 301 322 483 518 602 719 777 851 903 966 989 1438 1554 1591 1702 1806 1978 2157 2553 2967 3182 4314 4773 5033 5106 5934 5957 6923 9546 10066 11137 11914 13846 15099 16537 17871 20769 22274 26603 30198 30917 33074 33411 35742 36593 41538 49611 53206 61834 66822 73186 79809 92751 99222 109779 115759 159618 185502 186221 216419 219558 231518 256151 347277 372442 432838 512302 558663 611869 649257 694554 711091 768453 1117326 1143929 1223738 1298514 1422182 1536906 1835607 2133273 2287858 3431787 3671214 4266546 4283083 4977637 6863574 8007503 8566166 9955274 12849249 14932911 16015006 24022509 25698498 26310367 29865822 48045018 52620734 78931101 157862202 184172569 368345138 552517707 1105035414