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11669952 = 263719457
BaseRepresentation
bin101100100001…
…000111000000
3210221220011110
4230201013000
510441414302
61054043320
7201123120
oct54410700
923856143
1011669952
116650898
123aa9540
1325579c8
14179ac80
151057b6c
hexb211c0

11669952 has 112 divisors (see below), whose sum is σ = 37226240. Its totient is φ = 3151872.

The previous prime is 11669951. The next prime is 11669963. The reversal of 11669952 is 25996611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11669952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11669951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25308 + ... + 25764.

Almost surely, 211669952 is an apocalyptic number.

11669952 is a gapful number since it is divisible by the number (12) 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 11669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18613120).

11669952 is an abundant number, since it is smaller than the sum of its proper divisors (25556288).

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

11669952 is a wasteful number, since it uses less digits than its factorization.

11669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 11669952 is about 3416.1311450236. The cubic root of 11669952 is about 226.8243577820.

It can be divided in two parts, 11669 and 952, that added together give a palindrome (12621).

The spelling of 11669952 in words is "eleven million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 457 532 608 672 798 912 914 1064 1216 1344 1371 1596 1824 1828 2128 2742 3192 3199 3648 3656 4256 5484 6384 6398 7312 8512 8683 9597 10968 12768 12796 14624 17366 19194 21936 25536 25592 26049 29248 34732 38388 43872 51184 52098 60781 69464 76776 87744 102368 104196 121562 138928 153552 182343 204736 208392 243124 277856 307104 364686 416784 486248 555712 614208 729372 833568 972496 1458744 1667136 1944992 2917488 3889984 5834976 11669952