Search a number
-
+
104015576 = 23719293371
BaseRepresentation
bin1100011001100…
…10011011011000
321020201112112202
412030302123120
5203111444301
614153225332
72402055260
oct614623330
9236645482
10104015576
1153794495
122aa02248
131871b4a2
14db587a0
1591e966b
hex63326d8

104015576 has 64 divisors (see below), whose sum is σ = 242784000. Its totient is φ = 40763520.

The previous prime is 104015563. The next prime is 104015579. The reversal of 104015576 is 675510401.

It is a super-2 number, since 2×1040155762 = 21638480101223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104015579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29171 + ... + 32541.

It is an arithmetic number, because the mean of its divisors is an integer number (3793500).

Almost surely, 2104015576 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 104015576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121392000).

104015576 is an abundant number, since it is smaller than the sum of its proper divisors (138768424).

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

104015576 is a wasteful number, since it uses less digits than its factorization.

104015576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 104015576 is about 10198.8026748241. The cubic root of 104015576 is about 470.2904135447.

Adding to 104015576 its reverse (675510401), we get a palindrome (779525977).

The spelling of 104015576 in words is "one hundred four million, fifteen thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1064 1102 1624 2204 3371 3857 4408 6742 7714 13484 15428 23597 26968 30856 47194 64049 94388 97759 128098 188776 195518 256196 391036 448343 512392 684313 782072 896686 1368626 1793372 1857421 2737252 3586744 3714842 5474504 7429684 13001947 14859368 26003894 52007788 104015576