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105520440 = 23357191223
BaseRepresentation
bin1100100101000…
…01110100111000
321100112222211110
412102201310320
5204003123230
614245400320
72420623524
oct622416470
9240488743
10105520440
1154622083
122b4090a0
1318b2743c
141002ad84
1593e54b0
hex64a1d38

105520440 has 64 divisors (see below), whose sum is σ = 317260800. Its totient is φ = 28076672.

The previous prime is 105520421. The next prime is 105520451. The reversal of 105520440 is 44025501.

It is a super-2 number, since 2×1055204402 = 22269126515587200, which contains 22 as substring.

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, 85669 + ... + 86891.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2105520440 is an apocalyptic number.

105520440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105520440 is an abundant number, since it is smaller than the sum of its proper divisors (211740360).

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

105520440 is a wasteful number, since it uses less digits than its factorization.

105520440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105520440 is about 10272.3142475296. The cubic root of 105520440 is about 472.5475666679.

Adding to 105520440 its reverse (44025501), we get a palindrome (149545941).

The spelling of 105520440 in words is "one hundred five million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 719 1223 1438 2157 2446 2876 3595 3669 4314 4892 5752 6115 7190 7338 8628 9784 10785 12230 14380 14676 17256 18345 21570 24460 28760 29352 36690 43140 48920 73380 86280 146760 879337 1758674 2638011 3517348 4396685 5276022 7034696 8793370 10552044 13190055 17586740 21104088 26380110 35173480 52760220 105520440