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1121740704 = 25337312193
BaseRepresentation
bin100001011011100…
…0110011110100000
32220011202022222000
41002313012132200
54244131200304
6303150444000
736540432030
oct10267063640
92804668860
101121740704
11526214437
12273803600
1314b5234c6
14a8d9b8c0
156872c939
hex42dc67a0

1121740704 has 288 divisors, whose sum is σ = 3883662720. Its totient is φ = 308551680.

The previous prime is 1121740687. The next prime is 1121740709. The reversal of 1121740704 is 4070471211.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121740709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5812032 + ... + 5812224.

It is an arithmetic number, because the mean of its divisors is an integer number (13484940).

Almost surely, 21121740704 is an apocalyptic number.

1121740704 is a gapful number since it is divisible by the number (14) 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 1121740704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941831360).

1121740704 is an abundant number, since it is smaller than the sum of its proper divisors (2761922016).

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

1121740704 is a wasteful number, since it uses less digits than its factorization.

1121740704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1121740704 is about 33492.3977045538. The cubic root of 1121740704 is about 1039.0365535070.

The spelling of 1121740704 in words is "one billion, one hundred twenty-one million, seven hundred forty thousand, seven hundred four".