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10961376 = 253227503
BaseRepresentation
bin101001110100…
…000111100000
3202121220011220
4221310013200
510301231001
61030535040
7162112236
oct51640740
922556156
1010961376
116207498
123807480
13236a32a
141654956
15e67c36
hexa741e0

10961376 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 3630464.

The previous prime is 10961371. The next prime is 10961381. The reversal of 10961376 is 67316901.

It is an interprime number because it is at equal distance from previous prime (10961371) and next prime (10961381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10961371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21541 + ... + 22043.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 210961376 is an apocalyptic number.

10961376 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 10961376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

10961376 is an abundant number, since it is smaller than the sum of its proper divisors (17996448).

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

10961376 is a wasteful number, since it uses less digits than its factorization.

10961376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10961376 is about 3310.7968829271. The cubic root of 10961376 is about 222.1374037785.

The spelling of 10961376 in words is "ten million, nine hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 503 681 908 1006 1362 1509 1816 2012 2724 3018 3632 4024 5448 6036 7264 8048 10896 12072 16096 21792 24144 48288 114181 228362 342543 456724 685086 913448 1370172 1826896 2740344 3653792 5480688 10961376