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106440552 = 23322815261
BaseRepresentation
bin1100101100000…
…10011101101000
321102021201222200
412112002131220
5204222044202
614321220200
72431505211
oct626023550
9242251880
10106440552
11550a03a9
122b791660
131908a19a
14101ca408
159527e1c
hex6582768

106440552 has 48 divisors (see below), whose sum is σ = 289357380. Its totient is φ = 35347200.

The previous prime is 106440517. The next prime is 106440557. The reversal of 106440552 is 255044601.

106440552 is a `hidden beast` number, since 10 + 64 + 40 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101485476 + 4955076 = 10074^2 + 2226^2 .

It is a super-2 number, since 2×1064405522 = 22659182220129408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106440557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17602 + ... + 22862.

Almost surely, 2106440552 is an apocalyptic number.

106440552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106440552 is an abundant number, since it is smaller than the sum of its proper divisors (182916828).

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

106440552 is a wasteful number, since it uses less digits than its factorization.

106440552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 106440552 is about 10317.0030532127. The cubic root of 106440552 is about 473.9170928008.

It can be divided in two parts, 1064 and 40552, that added together give a triangular number (41616 = T288).

The spelling of 106440552 in words is "one hundred six million, four hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 562 843 1124 1686 2248 2529 3372 5058 5261 6744 10116 10522 15783 20232 21044 31566 42088 47349 63132 94698 126264 189396 378792 1478341 2956682 4435023 5913364 8870046 11826728 13305069 17740092 26610138 35480184 53220276 106440552