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104040144 = 243213149373
BaseRepresentation
bin1100011001110…
…00011011010000
321020202210020200
412030320123100
5203113241034
614153535200
72402220015
oct614703320
9236683220
10104040144
115380099a
122aa14500
1318729720
14db6370c
159201a99
hex63386d0

104040144 has 120 divisors (see below), whose sum is σ = 316516200. Its totient is φ = 31712256.

The previous prime is 104040127. The next prime is 104040161. The reversal of 104040144 is 441040401.

It is an interprime number because it is at equal distance from previous prime (104040127) and next prime (104040161).

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 104040000 = 12^2 + 10200^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278742 + ... + 279114.

It is an arithmetic number, because the mean of its divisors is an integer number (2637635).

Almost surely, 2104040144 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 104040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158258100).

104040144 is an abundant number, since it is smaller than the sum of its proper divisors (212476056).

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

104040144 is a wasteful number, since it uses less digits than its factorization.

104040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104040144 is about 10200.0070588211. The cubic root of 104040144 is about 470.3274374398.

Adding to 104040144 its reverse (441040401), we get a palindrome (545080545).

The spelling of 104040144 in words is "one hundred four million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 149 156 208 234 298 312 373 447 468 596 624 746 894 936 1119 1192 1341 1492 1788 1872 1937 2238 2384 2682 2984 3357 3576 3874 4476 4849 5364 5811 5968 6714 7152 7748 8952 9698 10728 11622 13428 14547 15496 17433 17904 19396 21456 23244 26856 29094 30992 34866 38792 43641 46488 53712 55577 58188 69732 77584 87282 92976 111154 116376 139464 166731 174564 222308 232752 278928 333462 349128 444616 500193 666924 698256 722501 889232 1000386 1333848 1445002 2000772 2167503 2667696 2890004 4001544 4335006 5780008 6502509 8003088 8670012 11560016 13005018 17340024 26010036 34680048 52020072 104040144