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10336896 = 2734997
BaseRepresentation
bin100111011011…
…101010000000
3201110011120000
4213123222000
510121240041
61005320000
7153601503
oct47335200
921404500
1010336896
115920299
123566000
1321ac00b
14153113a
15d92bb6
hex9dba80

10336896 has 80 divisors (see below), whose sum is σ = 30793290. Its totient is φ = 3442176.

The previous prime is 10336891. The next prime is 10336927. The reversal of 10336896 is 69863301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 3240000 = 2664^2 + 1800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10336896.

It is not an unprimeable number, because it can be changed into a prime (10336891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9870 + ... + 10866.

Almost surely, 210336896 is an apocalyptic number.

10336896 is a gapful number since it is divisible by the number (16) 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 10336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396645).

10336896 is an abundant number, since it is smaller than the sum of its proper divisors (20456394).

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

10336896 is an frugal number, since it uses more digits than its factorization.

10336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 10336896 is about 3215.1043528943. The cubic root of 10336896 is about 217.8361982501.

The spelling of 10336896 in words is "ten million, three hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 997 1152 1296 1728 1994 2592 2991 3456 3988 5184 5982 7976 8973 10368 11964 15952 17946 23928 26919 31904 35892 47856 53838 63808 71784 80757 95712 107676 127616 143568 161514 191424 215352 287136 323028 382848 430704 574272 646056 861408 1148544 1292112 1722816 2584224 3445632 5168448 10336896