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123885696 = 27311139211
BaseRepresentation
bin1110110001001…
…01100010000000
322122010001020010
413120211202000
5223203320241
620143144520
73033003534
oct730454200
9278101203
10123885696
1163a26180
12355a5140
131c88775c
141264bbc4
15ad21d16
hex7625880

123885696 has 128 divisors (see below), whose sum is σ = 363283200. Its totient is φ = 37094400.

The previous prime is 123885689. The next prime is 123885701. The reversal of 123885696 is 696588321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 587031 + ... + 587241.

It is an arithmetic number, because the mean of its divisors is an integer number (2838150).

Almost surely, 2123885696 is an apocalyptic number.

123885696 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 123885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181641600).

123885696 is an abundant number, since it is smaller than the sum of its proper divisors (239397504).

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

123885696 is a wasteful number, since it uses less digits than its factorization.

123885696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 123885696 is about 11130.3951412338. The cubic root of 123885696 is about 498.5098244994.

The spelling of 123885696 in words is "one hundred twenty-three million, eight hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 139 176 192 211 264 278 352 384 417 422 528 556 633 704 834 844 1056 1112 1266 1408 1529 1668 1688 2112 2224 2321 2532 3058 3336 3376 4224 4448 4587 4642 5064 6116 6672 6752 6963 8896 9174 9284 10128 12232 13344 13504 13926 17792 18348 18568 20256 24464 26688 27008 27852 29329 36696 37136 40512 48928 53376 55704 58658 73392 74272 81024 87987 97856 111408 117316 146784 148544 175974 195712 222816 234632 293568 297088 322619 351948 445632 469264 587136 645238 703896 891264 938528 967857 1290476 1407792 1877056 1935714 2580952 2815584 3754112 3871428 5161904 5631168 7742856 10323808 11262336 15485712 20647616 30971424 41295232 61942848 123885696