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1874813040 = 24365173161
BaseRepresentation
bin110111110111111…
…0110000001110000
311211122210101000000
41233233312001300
512314423004130
6510011430000
764313435142
oct15757660160
94748711000
101874813040
11882312871
12443a55300
1323b555539
1413adccc92
15ae8d5260
hex6fbf6070

1874813040 has 560 divisors, whose sum is σ = 7260178176. Its totient is φ = 447897600.

The previous prime is 1874813021. The next prime is 1874813041. The reversal of 1874813040 is 403184781.

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

It is a junction number, because it is equal to n+sod(n) for n = 1874812986 and 1874813004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1874813041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30734610 + ... + 30734670.

Almost surely, 21874813040 is an apocalyptic number.

1874813040 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 1874813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630089088).

1874813040 is an abundant number, since it is smaller than the sum of its proper divisors (5385365136).

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

1874813040 is a wasteful number, since it uses less digits than its factorization.

1874813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1874813040 is about 43299.1113072774. Note that the first 3 decimals coincide. The cubic root of 1874813040 is about 1233.0650506465.

The spelling of 1874813040 in words is "one billion, eight hundred seventy-four million, eight hundred thirteen thousand, forty".