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1381058640 = 2433513137359
BaseRepresentation
bin101001001010001…
…0100100001010000
310120020201001022000
41102110110201100
510312022334030
6345012514000
746136543013
oct12224244120
93506631260
101381058640
11649631885
1232661b900
13190179180
14d15c137a
15813a2860
hex52514850

1381058640 has 320 divisors, whose sum is σ = 5174668800. Its totient is φ = 336531456.

The previous prime is 1381058639. The next prime is 1381058641. The reversal of 1381058640 is 468501831.

1381058640 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 5 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1381058639) and next prime (1381058641).

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 = 1381058595 and 1381058604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381058641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3846781 + ... + 3847139.

It is an arithmetic number, because the mean of its divisors is an integer number (16170840).

Almost surely, 21381058640 is an apocalyptic number.

1381058640 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 1381058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587334400).

1381058640 is an abundant number, since it is smaller than the sum of its proper divisors (3793610160).

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

1381058640 is a wasteful number, since it uses less digits than its factorization.

1381058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1381058640 is about 37162.5973258060. The cubic root of 1381058640 is about 1113.6209001354.

The spelling of 1381058640 in words is "one billion, three hundred eighty-one million, fifty-eight thousand, six hundred forty".