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10399776 = 253127853
BaseRepresentation
bin100111101011…
…000000100000
3201120100210220
4213223000200
510130243101
61010523040
7154253022
oct47530040
921510726
1010399776
115963562
123596480
13220181a
14154a012
15da6636
hex9eb020

10399776 has 48 divisors (see below), whose sum is σ = 27546624. Its totient is φ = 3435264.

The previous prime is 10399757. The next prime is 10399789. The reversal of 10399776 is 67799301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11766 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (573888).

Almost surely, 210399776 is an apocalyptic number.

10399776 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 10399776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773312).

10399776 is an abundant number, since it is smaller than the sum of its proper divisors (17146848).

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

10399776 is a wasteful number, since it uses less digits than its factorization.

10399776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 10399776 is about 3224.8683694067. The cubic root of 10399776 is about 218.2770094727.

It can be divided in two parts, 10399 and 776, that added together give a triangular number (11175 = T149).

The spelling of 10399776 in words is "ten million, three hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 853 1016 1524 1706 2032 2559 3048 3412 4064 5118 6096 6824 10236 12192 13648 20472 27296 40944 81888 108331 216662 324993 433324 649986 866648 1299972 1733296 2599944 3466592 5199888 10399776