Search a number
-
+
104593720 = 235711291171
BaseRepresentation
bin1100011101111…
…11100100111000
321021210220121111
412032333210320
5203233444340
614213450104
72410013650
oct616774470
9237726544
10104593720
11540498a0
122b040934
131889169a
14dc69360
1592b0aea
hex63bf938

104593720 has 128 divisors (see below), whose sum is σ = 303782400. Its totient is φ = 31449600.

The previous prime is 104593703. The next prime is 104593729. The reversal of 104593720 is 27395401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104593729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88735 + ... + 89905.

It is an arithmetic number, because the mean of its divisors is an integer number (2373300).

Almost surely, 2104593720 is an apocalyptic number.

104593720 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 104593720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151891200).

104593720 is an abundant number, since it is smaller than the sum of its proper divisors (199188680).

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

104593720 is a wasteful number, since it uses less digits than its factorization.

104593720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 104593720 is about 10227.1071178511. The cubic root of 104593720 is about 471.1601338534.

The spelling of 104593720 in words is "one hundred four million, five hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 154 203 220 232 280 290 308 319 385 406 440 580 616 638 770 812 1015 1160 1171 1276 1540 1595 1624 2030 2233 2342 2552 3080 3190 4060 4466 4684 5855 6380 8120 8197 8932 9368 11165 11710 12760 12881 16394 17864 22330 23420 25762 32788 33959 40985 44660 46840 51524 64405 65576 67918 81970 89320 90167 103048 128810 135836 163940 169795 180334 237713 257620 271672 327880 339590 360668 373549 450835 475426 515240 679180 721336 747098 901670 950852 1188565 1358360 1494196 1803340 1867745 1901704 2377130 2614843 2988392 3606680 3735490 4754260 5229686 7470980 9508520 10459372 13074215 14941960 20918744 26148430 52296860 104593720