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11764704 = 253724161
BaseRepresentation
bin101100111000…
…001111100000
3211010201010210
4230320033200
511002432304
61100054120
7201666300
oct54701740
924121123
1011764704
116705aa6
123b34340
13258bb83
1417c3600
151075c89
hexb383e0

11764704 has 144 divisors (see below), whose sum is σ = 37403856. Its totient is φ = 3225600.

The previous prime is 11764699. The next prime is 11764721. The reversal of 11764704 is 40746711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192834 + ... + 192894.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 211764704 is an apocalyptic number.

11764704 is a gapful number since it is divisible by the number (14) 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 11764704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928).

11764704 is an abundant number, since it is smaller than the sum of its proper divisors (25639152).

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

11764704 is a wasteful number, since it uses less digits than its factorization.

11764704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 11764704 is about 3429.9714284524. The cubic root of 11764704 is about 227.4365898226.

It can be divided in two parts, 1176 and 4704, that multiplied together give a square (5531904 = 23522).

The spelling of 11764704 in words is "eleven million, seven hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 61 82 84 96 98 112 122 123 147 164 168 183 196 224 244 246 287 294 328 336 366 392 427 488 492 574 588 656 672 732 784 854 861 976 984 1148 1176 1281 1312 1464 1568 1708 1722 1952 1968 2009 2296 2352 2501 2562 2928 2989 3416 3444 3936 4018 4592 4704 5002 5124 5856 5978 6027 6832 6888 7503 8036 8967 9184 10004 10248 11956 12054 13664 13776 15006 16072 17507 17934 20008 20496 23912 24108 27552 30012 32144 35014 35868 40016 40992 47824 48216 52521 60024 64288 70028 71736 80032 95648 96432 105042 120048 122549 140056 143472 192864 210084 240096 245098 280112 286944 367647 420168 490196 560224 735294 840336 980392 1470588 1680672 1960784 2941176 3921568 5882352 11764704