Search a number
-
+
104056464 = 24319711607
BaseRepresentation
bin1100011001111…
…00011010010000
321020210121122010
412030330122100
5203114301324
614154142520
72402315421
oct614743220
9236717563
10104056464
1153812186
122aa21a40
1318733c95
14db69648
159206829
hex633c690

104056464 has 80 divisors (see below), whose sum is σ = 287124480. Its totient is φ = 32376960.

The previous prime is 104056457. The next prime is 104056487. The reversal of 104056464 is 464650401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63949 + ... + 65555.

It is an arithmetic number, because the mean of its divisors is an integer number (3589056).

Almost surely, 2104056464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143562240).

104056464 is an abundant number, since it is smaller than the sum of its proper divisors (183068016).

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

104056464 is a wasteful number, since it uses less digits than its factorization.

104056464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 104056464 is about 10200.8070268974. The cubic root of 104056464 is about 470.3520284043.

The spelling of 104056464 in words is "one hundred four million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 142 152 213 228 284 304 426 456 568 852 912 1136 1349 1607 1704 2698 3214 3408 4047 4821 5396 6428 8094 9642 10792 12856 16188 19284 21584 25712 30533 32376 38568 61066 64752 77136 91599 114097 122132 183198 228194 244264 342291 366396 456388 488528 684582 732792 912776 1369164 1465584 1825552 2167843 2738328 4335686 5476656 6503529 8671372 13007058 17342744 26014116 34685488 52028232 104056464