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1120970664 = 233511193189
BaseRepresentation
bin100001011010000…
…1010011110101000
32220010022012200000
41002310022132220
54243432030124
6303122143000
736531044022
oct10264123650
92803265600
101120970664
11525838940
122734b1a60
1314b313b68
14a8c3b012
15686296c9
hex42d0a7a8

1120970664 has 384 divisors, whose sum is σ = 3773952000. Its totient is φ = 307929600.

The previous prime is 1120970663. The next prime is 1120970671. The reversal of 1120970664 is 4660790211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120970663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12595132 + ... + 12595220.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 21120970664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120970664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1120970664 is an abundant number, since it is smaller than the sum of its proper divisors (2652981336).

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

1120970664 is a wasteful number, since it uses less digits than its factorization.

1120970664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1120970664 is about 33480.8999879036. The cubic root of 1120970664 is about 1038.7987436887.

The spelling of 1120970664 in words is "one billion, one hundred twenty million, nine hundred seventy thousand, six hundred sixty-four".