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105430140 = 22335195241
BaseRepresentation
bin1100100100010…
…11110001111100
321100101101222000
412102023301330
5203442231030
614243422300
72420066334
oct622136174
9240341860
10105430140
1154570252
122b384990
1318ac52ca
14100060c4
1593c8860
hex648bc7c

105430140 has 48 divisors (see below), whose sum is σ = 328006560. Its totient is φ = 28114560.

The previous prime is 105430133. The next prime is 105430153. The reversal of 105430140 is 41034501.

It is a happy number.

It is a super-2 number, since 2×1054301402 = 22231028840839200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97081 + ... + 98160.

It is an arithmetic number, because the mean of its divisors is an integer number (6833470).

Almost surely, 2105430140 is an apocalyptic number.

105430140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105430140 is an abundant number, since it is smaller than the sum of its proper divisors (222576420).

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

105430140 is a wasteful number, since it uses less digits than its factorization.

105430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195259 (or 195251 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105430140 is about 10267.9179973352. The cubic root of 105430140 is about 472.4127326866.

Adding to 105430140 its reverse (41034501), we get a palindrome (146464641).

It can be divided in two parts, 105430 and 140, that added together give a triangular number (105570 = T459).

The spelling of 105430140 in words is "one hundred five million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 195241 390482 585723 780964 976205 1171446 1757169 1952410 2342892 2928615 3514338 3904820 5271507 5857230 7028676 8785845 10543014 11714460 17571690 21086028 26357535 35143380 52715070 105430140