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1321096896 = 26327547599
BaseRepresentation
bin100111010111110…
…0101011011000000
310102001212200020200
41032233211123000
510201200100041
6335031405200
744511065310
oct11657453300
93361780220
101321096896
116187a7719
1230a523800
13180913752
14c7653440
157aeab1b6
hex4ebe56c0

1321096896 has 168 divisors, whose sum is σ = 4342790400. Its totient is φ = 376137216.

The previous prime is 1321096871. The next prime is 1321096919. The reversal of 1321096896 is 6986901231.

It is a happy number.

1321096896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205205 + ... + 2205803.

Almost surely, 21321096896 is an apocalyptic number.

1321096896 is a gapful number since it is divisible by the number (16) 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 1321096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171395200).

1321096896 is an abundant number, since it is smaller than the sum of its proper divisors (3021693504).

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

1321096896 is a wasteful number, since it uses less digits than its factorization.

1321096896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1321096896 is about 36346.8966488200. The cubic root of 1321096896 is about 1097.2650779951.

The spelling of 1321096896 in words is "one billion, three hundred twenty-one million, ninety-six thousand, eight hundred ninety-six".