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123445056 = 2637531733
BaseRepresentation
bin1110101101110…
…01111101000000
322121021122210010
413112321331000
5223100220211
620125504520
73026160060
oct726717500
9277248703
10123445056
1163755109
1235412140
131c762017
14125753a0
15ac864a6
hex75b9f40

123445056 has 112 divisors (see below), whose sum is σ = 380536704. Its totient is φ = 34584576.

The previous prime is 123445037. The next prime is 123445081. The reversal of 123445056 is 650544321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1234450563 (a number of 25 digits) contains 333 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, 70366 + ... + 72098.

Almost surely, 2123445056 is an apocalyptic number.

123445056 is a gapful number since it is divisible by the number (16) 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 123445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190268352).

123445056 is an abundant number, since it is smaller than the sum of its proper divisors (257091648).

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

123445056 is a wasteful number, since it uses less digits than its factorization.

123445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 123445056 is about 11110.5830630080. The cubic root of 123445056 is about 497.9180846218.

Adding to 123445056 its reverse (650544321), we get a palindrome (773989377).

The spelling of 123445056 in words is "one hundred twenty-three million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 1733 2226 2544 2968 3392 3466 4452 5088 5199 5936 6932 8904 10176 10398 11872 12131 13864 17808 20796 23744 24262 27728 35616 36393 41592 48524 55456 71232 72786 83184 91849 97048 110912 145572 166368 183698 194096 275547 291144 332736 367396 388192 551094 582288 642943 734792 776384 1102188 1164576 1285886 1469584 1928829 2204376 2329152 2571772 2939168 3857658 4408752 5143544 5878336 7715316 8817504 10287088 15430632 17635008 20574176 30861264 41148352 61722528 123445056