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1874468940 = 2235192931259
BaseRepresentation
bin110111110111010…
…0010000001001100
311211122010212222120
41233232202001030
512314331001230
6510000212540
764310503011
oct15756420114
94748125876
101874468940
118820a8293
1244390a150
1323b464a26
1413ad3d708
15ae868310
hex6fba204c

1874468940 has 288 divisors, whose sum is σ = 6005664000. Its totient is φ = 434972160.

The previous prime is 1874468933. The next prime is 1874468989. The reversal of 1874468940 is 498644781.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31770631 + ... + 31770689.

It is an arithmetic number, because the mean of its divisors is an integer number (20853000).

Almost surely, 21874468940 is an apocalyptic number.

1874468940 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 1874468940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002832000).

1874468940 is an abundant number, since it is smaller than the sum of its proper divisors (4131195060).

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

1874468940 is a wasteful number, since it uses less digits than its factorization.

1874468940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 1874468940 is about 43295.1376022758. The cubic root of 1874468940 is about 1232.9896078093.

The spelling of 1874468940 in words is "one billion, eight hundred seventy-four million, four hundred sixty-eight thousand, nine hundred forty".