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1121939616 = 253717253109
BaseRepresentation
bin100001011011111…
…0111000010100000
32220012010102211010
41002313313002200
54244204031431
6303155020520
736542220660
oct10267670240
92805112733
101121939616
1152633a926
1227389a740
1314b592bc5
14a90101a0
156876b846
hex42df70a0

1121939616 has 288 divisors, whose sum is σ = 3676337280. Its totient is φ = 293289984.

The previous prime is 1121939587. The next prime is 1121939627. The reversal of 1121939616 is 6169391211.

Its product of digits (17496) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10292970 + ... + 10293078.

It is an arithmetic number, because the mean of its divisors is an integer number (12765060).

Almost surely, 21121939616 is an apocalyptic number.

1121939616 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 1121939616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838168640).

1121939616 is an abundant number, since it is smaller than the sum of its proper divisors (2554397664).

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

1121939616 is a wasteful number, since it uses less digits than its factorization.

1121939616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its digits is 17496, while the sum is 39.

The square root of 1121939616 is about 33495.3670826280. The cubic root of 1121939616 is about 1039.0979653891.

The spelling of 1121939616 in words is "one billion, one hundred twenty-one million, nine hundred thirty-nine thousand, six hundred sixteen".