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11297916 = 22327107419
BaseRepresentation
bin101011000110…
…010001111100
3210020222211100
4223012101330
510343013131
61042053100
7165013350
oct53062174
923228740
1011297916
116417323
12394a190
132457576
141701460
15ed27e6
hexac647c

11297916 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3190176.

The previous prime is 11297893. The next prime is 11297917. The reversal of 11297916 is 61979211.

11297916 = T405 + T406 + ... + T511.

11297916 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

11297916 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26755 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 211297916 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 11297916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11297916 is an abundant number, since it is smaller than the sum of its proper divisors (21724164).

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

11297916 is a wasteful number, since it uses less digits than its factorization.

11297916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 538 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11297916 is about 3361.2372721961. The cubic root of 11297916 is about 224.3879067329.

It can be divided in two parts, 1129 and 7916, that added together give a triangular number (9045 = T134).

The spelling of 11297916 in words is "eleven million, two hundred ninety-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 419 428 642 749 838 963 1257 1284 1498 1676 1926 2247 2514 2933 2996 3771 3852 4494 5028 5866 6741 7542 8799 8988 11732 13482 15084 17598 26397 26964 35196 44833 52794 89666 105588 134499 179332 268998 313831 403497 537996 627662 806994 941493 1255324 1613988 1882986 2824479 3765972 5648958 11297916