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104051376 = 2432111331163
BaseRepresentation
bin1100011001110…
…11001010110000
321020210100122200
412030323022300
5203114121001
614154103200
72402264532
oct614731260
9236710580
10104051376
1153809380
122aa1ab00
1318731880
14db67852
159205086
hex633b2b0

104051376 has 240 divisors, whose sum is σ = 355310592. Its totient is φ = 27993600.

The previous prime is 104051347. The next prime is 104051377. The reversal of 104051376 is 673150401.

It is not an unprimeable number, because it can be changed into a prime (104051377) 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 47 ways as a sum of consecutive naturals, for example, 638271 + ... + 638433.

Almost surely, 2104051376 is an apocalyptic number.

104051376 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 104051376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655296).

104051376 is an abundant number, since it is smaller than the sum of its proper divisors (251259216).

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

104051376 is a wasteful number, since it uses less digits than its factorization.

104051376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 104051376 is about 10200.5576318160. The cubic root of 104051376 is about 470.3443620854.

It can be divided in two parts, 10405 and 1376, that added together give a triangular number (11781 = T153).

The spelling of 104051376 in words is "one hundred four million, fifty-one thousand, three hundred seventy-six".