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1875380440 = 2352310719051
BaseRepresentation
bin110111111001000…
…0000100011011000
311211200212012022211
41233302000203120
512320044133230
6510031524504
764321320313
oct15762004330
94750765284
101875380440
1188267009a
12444089734
1323b6c388b
1413b0d997a
15ae99842a
hex6fc808d8

1875380440 has 64 divisors (see below), whose sum is σ = 4444450560. Its totient is φ = 710793600.

The previous prime is 1875380387. The next prime is 1875380453. The reversal of 1875380440 is 440835781.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1875380393 and 1875380402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88915 + ... + 107965.

It is an arithmetic number, because the mean of its divisors is an integer number (69444540).

Almost surely, 21875380440 is an apocalyptic number.

1875380440 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 1875380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222225280).

1875380440 is an abundant number, since it is smaller than the sum of its proper divisors (2569070120).

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

1875380440 is a wasteful number, since it uses less digits than its factorization.

1875380440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19192 (or 19188 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1875380440 is about 43305.6629091393. The cubic root of 1875380440 is about 1233.1894311449.

The spelling of 1875380440 in words is "one billion, eight hundred seventy-five million, three hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 2140 2461 4280 4922 9844 12305 19051 19688 24610 38102 49220 76204 95255 98440 152408 190510 381020 438173 762040 876346 1752692 2038457 2190865 3505384 4076914 4381730 8153828 8763460 10192285 16307656 17526920 20384570 40769140 46884511 81538280 93769022 187538044 234422555 375076088 468845110 937690220 1875380440