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104073040 = 2454789311
BaseRepresentation
bin1100011010000…
…00011101010000
321020211110101001
412031000131100
5203120314130
614154351344
72402414641
oct615003520
9236743331
10104073040
1153823685
122aa2b554
131873b6a6
14db716c8
15920b6ca
hex6340750

104073040 has 80 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 40156160.

The previous prime is 104073017. The next prime is 104073041. The reversal of 104073040 is 40370401.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 104072999 and 104073017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104073041) 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, 334485 + ... + 334795.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2104073040 is an apocalyptic number.

104073040 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 104073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

104073040 is an abundant number, since it is smaller than the sum of its proper divisors (146625200).

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

104073040 is a wasteful number, since it uses less digits than its factorization.

104073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 104073040 is about 10201.6194792788. The cubic root of 104073040 is about 470.3770024776.

The spelling of 104073040 in words is "one hundred four million, seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 89 94 178 188 235 311 356 376 445 470 622 712 752 890 940 1244 1424 1555 1780 1880 2488 3110 3560 3760 4183 4976 6220 7120 8366 12440 14617 16732 20915 24880 27679 29234 33464 41830 55358 58468 66928 73085 83660 110716 116936 138395 146170 167320 221432 233872 276790 292340 334640 442864 553580 584680 1107160 1169360 1300913 2214320 2601826 5203652 6504565 10407304 13009130 20814608 26018260 52036520 104073040