Search a number
-
+
104460752 = 2411279683
BaseRepresentation
bin1100011100111…
…11000111010000
321021120011012202
412032133013100
5203220221002
614210542332
72405621204
oct616370720
9237504182
10104460752
1153a68a00
122ab979a8
1318845cc6
14dc32b04
159286502
hex639f1d0

104460752 has 60 divisors (see below), whose sum is σ = 225610560. Its totient is φ = 46812480.

The previous prime is 104460751. The next prime is 104460757. The reversal of 104460752 is 257064401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104460751) 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, 152603 + ... + 153285.

It is an arithmetic number, because the mean of its divisors is an integer number (3760176).

Almost surely, 2104460752 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 104460752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112805280).

104460752 is an abundant number, since it is smaller than the sum of its proper divisors (121149808).

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

104460752 is a wasteful number, since it uses less digits than its factorization.

104460752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 104460752 is about 10220.6042874186. The cubic root of 104460752 is about 470.9603902242.

The spelling of 104460752 in words is "one hundred four million, four hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 242 316 484 632 683 869 968 1264 1366 1738 1936 2732 3476 5464 6952 7513 9559 10928 13904 15026 19118 30052 38236 53957 60104 76472 82643 107914 120208 152944 165286 215828 330572 431656 593527 661144 863312 1187054 1322288 2374108 4748216 6528797 9496432 13057594 26115188 52230376 104460752