Search a number
-
+
104602064 = 24721011321
BaseRepresentation
bin1100011110000…
…01100111010000
321021211100001112
412033001213100
5203234231224
614213552452
72410050200
oct617014720
9237740045
10104602064
1154055096
122b045728
1318895418
14dc6c400
1592b330e
hex63c19d0

104602064 has 60 divisors (see below), whose sum is σ = 238269348. Its totient is φ = 44352000.

The previous prime is 104602063. The next prime is 104602067. The reversal of 104602064 is 460206401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98803600 + 5798464 = 9940^2 + 2408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104602063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78524 + ... + 79844.

Almost surely, 2104602064 is an apocalyptic number.

104602064 is a gapful number since it is divisible by the number (14) 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 104602064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119134674).

104602064 is an abundant number, since it is smaller than the sum of its proper divisors (133667284).

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

104602064 is a wasteful number, since it uses less digits than its factorization.

104602064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 104602064 is about 10227.5150452102. The cubic root of 104602064 is about 471.1726625076.

Adding to 104602064 its reverse (460206401), we get a palindrome (564808465).

The spelling of 104602064 in words is "one hundred four million, six hundred two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1321 1414 1616 2642 2828 4949 5284 5656 9247 9898 10568 11312 18494 19796 21136 36988 39592 64729 73976 79184 129458 133421 147952 258916 266842 517832 533684 933947 1035664 1067368 1867894 2134736 3735788 6537629 7471576 13075258 14943152 26150516 52301032 104602064