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11701664 = 2513231223
BaseRepresentation
bin101100101000…
…110110100000
3211000111122222
4230220312200
510443423124
61054450212
7201314432
oct54506640
924014588
1011701664
1166726a7
123b03968
132569280
1417a8652
15106225e
hexb28da0

11701664 has 48 divisors (see below), whose sum is σ = 25909632. Its totient is φ = 5161728.

The previous prime is 11701649. The next prime is 11701673. The reversal of 11701664 is 46610711.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8957 + ... + 10179.

It is an arithmetic number, because the mean of its divisors is an integer number (539784).

Almost surely, 211701664 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 11701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816).

11701664 is an abundant number, since it is smaller than the sum of its proper divisors (14207968).

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

11701664 is a wasteful number, since it uses less digits than its factorization.

11701664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 11701664 is about 3420.7695040736. The cubic root of 11701664 is about 227.0296299307.

The spelling of 11701664 in words is "eleven million, seven hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 1223 2392 2446 4784 4892 9568 9784 15899 19568 28129 31798 39136 56258 63596 112516 127192 225032 254384 365677 450064 508768 731354 900128 1462708 2925416 5850832 11701664