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10961408 = 2979271
BaseRepresentation
bin101001110100…
…001000000000
3202121220020002
4221310020000
510301231113
61030535132
7162112313
oct51641000
922556202
1010961408
116207517
1238074a8
13236a353
14165497a
15e67c58
hexa74200

10961408 has 40 divisors (see below), whose sum is σ = 22260480. Its totient is φ = 5391360.

The previous prime is 10961399. The next prime is 10961411. The reversal of 10961408 is 80416901.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40313 + ... + 40583.

It is an arithmetic number, because the mean of its divisors is an integer number (556512).

Almost surely, 210961408 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 10961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130240).

10961408 is an abundant number, since it is smaller than the sum of its proper divisors (11299072).

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

10961408 is an frugal number, since it uses more digits than its factorization.

10961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10961408 is about 3310.8017155970. The cubic root of 10961408 is about 222.1376199433.

The spelling of 10961408 in words is "ten million, nine hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 271 316 512 542 632 1084 1264 2168 2528 4336 5056 8672 10112 17344 20224 21409 34688 40448 42818 69376 85636 138752 171272 342544 685088 1370176 2740352 5480704 10961408