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104590640 = 24571116979
BaseRepresentation
bin1100011101111…
…10110100110000
321021210202101102
412032332310300
5203233400030
614213423532
72410001660
oct616766460
9237722342
10104590640
1154047550
122b03aba8
131889016b
14dc681a0
1592aec45
hex63bed30

104590640 has 80 divisors (see below), whose sum is σ = 303194880. Its totient is φ = 32597760.

The previous prime is 104590583. The next prime is 104590643. The reversal of 104590640 is 46095401.

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

It is not an unprimeable number, because it can be changed into a prime (104590643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (3789936).

Almost surely, 2104590640 is an apocalyptic number.

104590640 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 104590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151597440).

104590640 is an abundant number, since it is smaller than the sum of its proper divisors (198604240).

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

104590640 is a wasteful number, since it uses less digits than its factorization.

104590640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17010 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 104590640 is about 10226.9565365264. The cubic root of 104590640 is about 471.1555090141.

The spelling of 104590640 in words is "one hundred four million, five hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 16979 33958 67916 84895 118853 135832 169790 186769 237706 271664 339580 373538 475412 594265 679160 747076 933845 950824 1188530 1307383 1358320 1494152 1867690 1901648 2377060 2614766 2988304 3735380 4754120 5229532 6536915 7470760 9508240 10459064 13073830 14941520 20918128 26147660 52295320 104590640