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1129352640 = 26351326961
BaseRepresentation
bin100001101010000…
…1000110111000000
32220201002001120120
41003110020313000
54303103241030
6304021540240
736662224203
oct10324106700
92821061516
101129352640
1152a543399
12276274680
1314cc8a100
14a9dbd93a
1569233010
hex43508dc0

1129352640 has 168 divisors, whose sum is σ = 3883292208. Its totient is φ = 277954560.

The previous prime is 1129352633. The next prime is 1129352641. The reversal of 1129352640 is 462539211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129352641) by changing a digit.

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, 158760 + ... + 165720.

Almost surely, 21129352640 is an apocalyptic number.

1129352640 is a gapful number since it is divisible by the number (10) 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 1129352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941646104).

1129352640 is an abundant number, since it is smaller than the sum of its proper divisors (2753939568).

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

1129352640 is a wasteful number, since it uses less digits than its factorization.

1129352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1129352640 is about 33605.8423492107. The cubic root of 1129352640 is about 1041.3814973909.

The spelling of 1129352640 in words is "one billion, one hundred twenty-nine million, three hundred fifty-two thousand, six hundred forty".