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10916064 = 2532291307
BaseRepresentation
bin101001101001…
…000011100000
3202112121000200
4221221003200
510243303224
61025545200
7161533155
oct51510340
922477020
1010916064
116186445
1237a5200
132352813
14164222c
15e595c9
hexa690e0

10916064 has 72 divisors (see below), whose sum is σ = 32137560. Its totient is φ = 3510528.

The previous prime is 10916063. The next prime is 10916071. The reversal of 10916064 is 46061901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10916063) 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, 7699 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (446355).

Almost surely, 210916064 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 10916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068780).

10916064 is an abundant number, since it is smaller than the sum of its proper divisors (21221496).

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

10916064 is a wasteful number, since it uses less digits than its factorization.

10916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10916064 is about 3303.9467308054. The cubic root of 10916064 is about 221.8308914236.

Adding to 10916064 its reverse (46061901), we get a palindrome (56977965).

The spelling of 10916064 in words is "ten million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1307 1392 2088 2614 2784 3921 4176 5228 7842 8352 10456 11763 15684 20912 23526 31368 37903 41824 47052 62736 75806 94104 113709 125472 151612 188208 227418 303224 341127 376416 454836 606448 682254 909672 1212896 1364508 1819344 2729016 3638688 5458032 10916064