Search a number
-
+
104099352 = 23373716747
BaseRepresentation
bin1100011010001…
…10111000011000
321020212210110120
412031012320120
5203122134402
614155113240
72402554440
oct615067030
9236783416
10104099352
1153841425
122aa42820
131874a666
14db7b120
1592143bc
hex6346e18

104099352 has 64 divisors (see below), whose sum is σ = 305483520. Its totient is φ = 28937088.

The previous prime is 104099351. The next prime is 104099353. The reversal of 104099352 is 253990401.

It is an interprime number because it is at equal distance from previous prime (104099351) and next prime (104099353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104099351) 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, 2158 + ... + 14589.

It is an arithmetic number, because the mean of its divisors is an integer number (4773180).

Almost surely, 2104099352 is an apocalyptic number.

104099352 is a gapful number since it is divisible by the number (12) 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 104099352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152741760).

104099352 is an abundant number, since it is smaller than the sum of its proper divisors (201384168).

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

104099352 is a wasteful number, since it uses less digits than its factorization.

104099352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 16796 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 104099352 is about 10202.9089969479. The cubic root of 104099352 is about 470.4166397580.

Subtracting 104099352 from its reverse (253990401), we obtain a square (149891049 = 122432).

The spelling of 104099352 in words is "one hundred four million, ninety-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 16747 33494 50241 66988 100482 117229 133976 200964 234458 351687 401928 468916 619639 703374 937832 1239278 1406748 1858917 2478556 2813496 3717834 4337473 4957112 7435668 8674946 13012419 14871336 17349892 26024838 34699784 52049676 104099352