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1320631940 = 225237936341
BaseRepresentation
bin100111010110111…
…0011111010000100
310102001000001110002
41032231303322010
510201040210230
6335013420432
744504120615
oct11655637204
93361001402
101320631940
1161850a361
1230a33a718
131807acc24
14c7571c0c
157ae18545
hex4eb73e84

1320631940 has 48 divisors (see below), whose sum is σ = 2930618880. Its totient is φ = 498875520.

The previous prime is 1320631937. The next prime is 1320631969. The reversal of 1320631940 is 491360231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18170 + ... + 54510.

It is an arithmetic number, because the mean of its divisors is an integer number (61054560).

Almost surely, 21320631940 is an apocalyptic number.

1320631940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 36340×36341.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320631940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465309440).

1320631940 is an abundant number, since it is smaller than the sum of its proper divisors (1609986940).

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

1320631940 is a wasteful number, since it uses less digits than its factorization.

1320631940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36452 (or 36450 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1320631940 is about 36340.4999965603. The cubic root of 1320631940 is about 1097.1363365311.

The spelling of 1320631940 in words is "one billion, three hundred twenty million, six hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 7268 9085 18170 36340 36341 72682 145364 181705 363410 726820 835843 1671686 2870939 3343372 4179215 5741878 8358430 11483756 14354695 16716860 28709390 57418780 66031597 132063194 264126388 330157985 660315970 1320631940