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1790231040 = 293251343139
BaseRepresentation
bin110101010110100…
…1100001000000000
311121202122011022100
41222231030020000
512131244343130
6453350510400
762235466323
oct15255141000
94552564270
101790231040
118395a2094
1241b665400
13226b7c710
1412da927ba
15a7278c60
hex6ab4c200

1790231040 has 480 divisors, whose sum is σ = 6881434560. Its totient is φ = 427327488.

The previous prime is 1790231033. The next prime is 1790231057. The reversal of 1790231040 is 401320971.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 1790230995 and 1790231013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12879291 + ... + 12879429.

It is an arithmetic number, because the mean of its divisors is an integer number (14336322).

Almost surely, 21790231040 is an apocalyptic number.

1790231040 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 1790231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440717280).

1790231040 is an abundant number, since it is smaller than the sum of its proper divisors (5091203520).

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

1790231040 is a wasteful number, since it uses less digits than its factorization.

1790231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1790231040 is about 42311.1219421088. The cubic root of 1790231040 is about 1214.2357842182.

The spelling of 1790231040 in words is "one billion, seven hundred ninety million, two hundred thirty-one thousand, forty".