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1074911040 = 26335722539
BaseRepresentation
bin100000000010001…
…1101011101000000
32202220122010202000
41000010131131000
54200134123130
6254355024000
735431410300
oct10004353500
92686563660
101074911040
11501839635
1225bb9b000
13141908148
14a2a8b600
156457c260
hex4011d740

1074911040 has 336 divisors, whose sum is σ = 4412894400. Its totient is φ = 245597184.

The previous prime is 1074910999. The next prime is 1074911059. The reversal of 1074911040 is 401194701.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1074910995 and 1074911013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422091 + ... + 424629.

Almost surely, 21074911040 is an apocalyptic number.

1074911040 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 1074911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206447200).

1074911040 is an abundant number, since it is smaller than the sum of its proper divisors (3337983360).

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

1074911040 is a wasteful number, since it uses less digits than its factorization.

1074911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1074911040 is about 32785.8359661608. The cubic root of 1074911040 is about 1024.3715489271.

The spelling of 1074911040 in words is "one billion, seventy-four million, nine hundred eleven thousand, forty".