Search a number
-
+
104690352 = 243131771139
BaseRepresentation
bin1100011110101…
…11001010110000
321021222211011110
412033113022300
5203300042402
614215513320
72410565454
oct617271260
9237884143
10104690352
1154105458
122b088840
13188c6670
14dc92664
1592ce56c
hex63d72b0

104690352 has 160 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 29675520.

The previous prime is 104690351. The next prime is 104690359. The reversal of 104690352 is 253096401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104690351) 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, 753099 + ... + 753237.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2104690352 is an apocalyptic number.

104690352 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 104690352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

104690352 is an abundant number, since it is smaller than the sum of its proper divisors (210289488).

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

104690352 is a wasteful number, since it uses less digits than its factorization.

104690352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 104690352 is about 10231.8303347935. The cubic root of 104690352 is about 471.3051875976.

The spelling of 104690352 in words is "one hundred four million, six hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 71 78 102 104 136 139 142 156 204 208 213 221 272 278 284 312 408 417 426 442 556 568 624 663 816 834 852 884 923 1112 1136 1207 1326 1668 1704 1768 1807 1846 2224 2363 2414 2652 2769 3336 3408 3536 3614 3621 3692 4726 4828 5304 5421 5538 6672 7089 7228 7242 7384 9452 9656 9869 10608 10842 11076 14178 14456 14484 14768 15691 18904 19312 19738 21684 22152 28356 28912 28968 29607 30719 31382 37808 39476 43368 44304 47073 56712 57936 59214 61438 62764 78952 86736 92157 94146 113424 118428 122876 125528 128297 157904 167773 184314 188292 236856 245752 251056 256594 335546 368628 376584 384891 473712 491504 503319 513188 671092 737256 753168 769782 1006638 1026376 1342184 1474512 1539564 2013276 2052752 2181049 2684368 3079128 4026552 4362098 6158256 6543147 8053104 8724196 13086294 17448392 26172588 34896784 52345176 104690352