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104138244 = 22337139991
BaseRepresentation
bin1100011010100…
…00011000000100
321020221202211000
412031100120010
5203124410434
614200013300
72403106020
oct615203004
9236852730
10104138244
1153868671
122aa61230
1318762282
14db8b380
159220b99
hex6350604

104138244 has 96 divisors (see below), whose sum is σ = 311091200. Its totient is φ = 29509920.

The previous prime is 104138233. The next prime is 104138249. The reversal of 104138244 is 442831401.

104138244 is a `hidden beast` number, since 1 + 0 + 413 + 8 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104138249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104589 + ... + 105579.

Almost surely, 2104138244 is an apocalyptic number.

104138244 is a gapful number since it is divisible by the number (14) 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 104138244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155545600).

104138244 is an abundant number, since it is smaller than the sum of its proper divisors (206952956).

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

104138244 is a wasteful number, since it uses less digits than its factorization.

104138244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104138244 is about 10204.8147459912. The cubic root of 104138244 is about 470.4752157422.

Adding to 104138244 its reverse (442831401), we get a palindrome (546969645).

The spelling of 104138244 in words is "one hundred four million, one hundred thirty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 417 556 756 834 973 991 1251 1668 1946 1982 2502 2919 2973 3753 3892 3964 5004 5838 5946 6937 7506 8757 8919 11676 11892 13874 15012 17514 17838 20811 26271 26757 27748 35028 35676 41622 52542 53514 62433 83244 105084 107028 124866 137749 187299 249732 275498 374598 413247 550996 749196 826494 964243 1239741 1652988 1928486 2479482 2892729 3719223 3856972 4958964 5785458 7438446 8678187 11570916 14876892 17356374 26034561 34712748 52069122 104138244