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104540880 = 24351034229
BaseRepresentation
bin1100011101100…
…10101011010000
321021201020010110
412032302223100
5203230302010
614212401320
72406403623
oct616625320
9237636113
10104540880
1154013124
122b016240
1318873612
14dc53dba
1592a0120
hex63b2ad0

104540880 has 80 divisors (see below), whose sum is σ = 327300480. Its totient is φ = 27600384.

The previous prime is 104540879. The next prime is 104540893. The reversal of 104540880 is 88045401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 22606 + ... + 26834.

It is an arithmetic number, because the mean of its divisors is an integer number (4091256).

Almost surely, 2104540880 is an apocalyptic number.

104540880 is a gapful number since it is divisible by the number (10) 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 104540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163650240).

104540880 is an abundant number, since it is smaller than the sum of its proper divisors (222759600).

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

104540880 is a wasteful number, since it uses less digits than its factorization.

104540880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 104540880 is about 10224.5234607780. The cubic root of 104540880 is about 471.0807782443.

The spelling of 104540880 in words is "one hundred four million, five hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4229 4944 6180 8240 8458 12360 12687 16916 21145 24720 25374 33832 42290 50748 63435 67664 84580 101496 126870 169160 202992 253740 338320 435587 507480 871174 1014960 1306761 1742348 2177935 2613522 3484696 4355870 5227044 6533805 6969392 8711740 10454088 13067610 17423480 20908176 26135220 34846960 52270440 104540880