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11407716 = 2234137257
BaseRepresentation
bin101011100001…
…000101100100
3210110120110000
4223201011210
510410021331
61044301300
7165651435
oct53410544
923416400
1011407716
116491871
1239a1830
132495538
14172d48c
1510050e6
hexae1164

11407716 has 60 divisors (see below), whose sum is σ = 30156588. Its totient is φ = 3760128.

The previous prime is 11407687. The next prime is 11407723. The reversal of 11407716 is 61770411.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 1822500 = 3096^2 + 1350^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11407716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44260 + ... + 44516.

Almost surely, 211407716 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 11407716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078294).

11407716 is an abundant number, since it is smaller than the sum of its proper divisors (18748872).

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

11407716 is a wasteful number, since it uses less digits than its factorization.

11407716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 11407716 is about 3377.5310509305. The cubic root of 11407716 is about 225.1124770969.

The spelling of 11407716 in words is "eleven million, four hundred seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 257 274 324 411 514 548 771 822 1028 1233 1542 1644 2313 2466 3084 3699 4626 4932 6939 7398 9252 11097 13878 14796 20817 22194 27756 35209 41634 44388 70418 83268 105627 140836 211254 316881 422508 633762 950643 1267524 1901286 2851929 3802572 5703858 11407716