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1120711680 = 21033511267
BaseRepresentation
bin100001011001100…
…1011010000000000
32220002211001102000
41002303023100000
54243400233210
6303112424000
736525614664
oct10263132000
92802731360
101120711680
11525681300
122733a8000
1314b25300a
14a8bb08a4
15685c7ac0
hex42ccb400

1120711680 has 528 divisors, whose sum is σ = 4443136320. Its totient is φ = 267632640.

The previous prime is 1120711679. The next prime is 1120711727. The reversal of 1120711680 is 861170211.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×11207116803 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16727007 + ... + 16727073.

Almost surely, 21120711680 is an apocalyptic number.

1120711680 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 1120711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221568160).

1120711680 is an abundant number, since it is smaller than the sum of its proper divisors (3322424640).

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

1120711680 is a wasteful number, since it uses less digits than its factorization.

1120711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1120711680 is about 33477.0321265192. The cubic root of 1120711680 is about 1038.7187377368.

Adding to 1120711680 its reverse (861170211), we get a palindrome (1981881891).

The spelling of 1120711680 in words is "one billion, one hundred twenty million, seven hundred eleven thousand, six hundred eighty".