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104038320 = 24354197109
BaseRepresentation
bin1100011001101…
…11111110110000
321020202200202010
412030313332300
5203113211240
614153522520
72402211501
oct614677660
9236680663
10104038320
11537aa591
122aa13440
1318728949
14db62ba8
159201280
hex6337fb0

104038320 has 160 divisors (see below), whose sum is σ = 336853440. Its totient is φ = 26542080.

The previous prime is 104038301. The next prime is 104038331. The reversal of 104038320 is 23830401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954426 + ... + 954534.

It is an arithmetic number, because the mean of its divisors is an integer number (2105334).

Almost surely, 2104038320 is an apocalyptic number.

104038320 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 104038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168426720).

104038320 is an abundant number, since it is smaller than the sum of its proper divisors (232815120).

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

104038320 is a wasteful number, since it uses less digits than its factorization.

104038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104038320 is about 10199.9176467264. The cubic root of 104038320 is about 470.3246888781.

Adding to 104038320 its reverse (23830401), we get a palindrome (127868721).

It can be divided in two parts, 1040383 and 20, that added together give a triangular number (1040403 = T1442).

The spelling of 104038320 in words is "one hundred four million, thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 97 109 120 123 164 194 205 218 240 246 291 327 328 388 410 436 485 492 545 582 615 654 656 776 820 872 970 984 1090 1164 1230 1308 1455 1552 1635 1640 1744 1940 1968 2180 2328 2460 2616 2910 3270 3280 3880 3977 4360 4469 4656 4920 5232 5820 6540 7760 7954 8720 8938 9840 10573 11640 11931 13080 13407 15908 17876 19885 21146 22345 23280 23862 26160 26814 31719 31816 35752 39770 42292 44690 47724 52865 53628 59655 63438 63632 67035 71504 79540 84584 89380 95448 105730 107256 119310 126876 134070 158595 159080 169168 178760 190896 211460 214512 238620 253752 268140 317190 318160 357520 422920 433493 477240 507504 536280 634380 845840 866986 954480 1072560 1268760 1300479 1733972 2167465 2537520 2600958 3467944 4334930 5201916 6502395 6935888 8669860 10403832 13004790 17339720 20807664 26009580 34679440 52019160 104038320