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103088392 = 23112331253
BaseRepresentation
bin1100010010100…
…00000100001000
321011222102200121
412021100010020
5202342312032
614121313024
72361144151
oct611200410
9234872617
10103088392
1153210920
122a635774
1318485464
14d996928
1590b4a97
hex6250108

103088392 has 96 divisors (see below), whose sum is σ = 231647040. Its totient is φ = 42556800.

The previous prime is 103088389. The next prime is 103088393. The reversal of 103088392 is 293880301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103088393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945038 + ... + 1945090.

It is an arithmetic number, because the mean of its divisors is an integer number (2412990).

Almost surely, 2103088392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103088392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115823520).

103088392 is an abundant number, since it is smaller than the sum of its proper divisors (128558648).

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

103088392 is a wasteful number, since it uses less digits than its factorization.

103088392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 103088392 is about 10153.2453924841. The cubic root of 103088392 is about 468.8888676089. Note that the first 4 decimals are identical.

The spelling of 103088392 in words is "one hundred three million, eighty-eight thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 23 31 44 46 53 62 88 92 106 124 184 212 248 253 341 424 506 583 682 713 961 1012 1166 1219 1364 1426 1643 1922 2024 2332 2438 2728 2852 3286 3844 4664 4876 5704 6572 7688 7843 9752 10571 13144 13409 15686 18073 21142 22103 26818 31372 36146 37789 42284 44206 50933 53636 62744 72292 75578 84568 88412 101866 107272 144584 151156 176824 203732 243133 302312 407464 415679 486266 560263 831358 972532 1120526 1171459 1662716 1945064 2241052 2342918 3325432 4482104 4685836 9371672 12886049 25772098 51544196 103088392