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1395671040 = 214335631
BaseRepresentation
bin101001100110000…
…0100000000000000
310121021012102202000
41103030010000000
510324242433130
6350254024000
746405002531
oct12314040000
93537172660
101395671040
11656902345
1232b4a8000
131931c426a
14d3506688
15827dc260
hex53304000

1395671040 has 240 divisors, whose sum is σ = 4970098560. Its totient is φ = 371589120.

The previous prime is 1395671029. The next prime is 1395671051. The reversal of 1395671040 is 401765931.

It is an interprime number because it is at equal distance from previous prime (1395671029) and next prime (1395671051).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1395670986 and 1395671004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211525 + ... + 2212155.

It is an arithmetic number, because the mean of its divisors is an integer number (20708744).

Almost surely, 21395671040 is an apocalyptic number.

1395671040 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 1395671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485049280).

1395671040 is an abundant number, since it is smaller than the sum of its proper divisors (3574427520).

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

1395671040 is an frugal number, since it uses more digits than its factorization.

1395671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1395671040 is about 37358.6809188976. The cubic root of 1395671040 is about 1117.5347135742.

The spelling of 1395671040 in words is "one billion, three hundred ninety-five million, six hundred seventy-one thousand, forty".