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1327768704 = 27329711187
BaseRepresentation
bin100111100100100…
…0010010010000000
310102112102122020200
41033021002102000
510204402044304
6335430405200
744621563533
oct11711022200
93375378220
101327768704
11621544309
12310800800
1318210b472
14c84aca1a
157b877e39
hex4f242480

1327768704 has 96 divisors (see below), whose sum is σ = 3827949840. Its totient is φ = 441761280.

The previous prime is 1327768699. The next prime is 1327768769. The reversal of 1327768704 is 4078677231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1327768704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117999 + ... + 1119185.

Almost surely, 21327768704 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 1327768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913974920).

1327768704 is an abundant number, since it is smaller than the sum of its proper divisors (2500181136).

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

1327768704 is a wasteful number, since it uses less digits than its factorization.

1327768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1327768704 is about 36438.5606740991. The cubic root of 1327768704 is about 1099.1091144829.

The spelling of 1327768704 in words is "one billion, three hundred twenty-seven million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 971 1152 1187 1942 2374 2913 3561 3884 4748 5826 7122 7768 8739 9496 10683 11652 14244 15536 17478 18992 21366 23304 28488 31072 34956 37984 42732 46608 56976 62144 69912 75968 85464 93216 113952 124288 139824 151936 170928 186432 227904 279648 341856 372864 455808 559296 683712 1118592 1152577 1367424 2305154 3457731 4610308 6915462 9220616 10373193 13830924 18441232 20746386 27661848 36882464 41492772 55323696 73764928 82985544 110647392 147529856 165971088 221294784 331942176 442589568 663884352 1327768704