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1074690540 = 22325721121953
BaseRepresentation
bin100000000001110…
…0111100111101100
32202220012221021100
41000003213213230
54200110044130
6254350203100
735426501400
oct10003474754
92686187240
101074690540
115016a8a00
1225bab3490
1314185b981
14a2a31100
1564536c60
hex400e79ec

1074690540 has 648 divisors, whose sum is σ = 4470364080. Its totient is φ = 207567360.

The previous prime is 1074690527. The next prime is 1074690563. The reversal of 1074690540 is 450964701.

1074690540 is a `hidden beast` number, since 107 + 4 + 6 + 9 + 0 + 540 = 666.

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 = 1074690495 and 1074690504.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20277154 + ... + 20277206.

It is an arithmetic number, because the mean of its divisors is an integer number (6898710).

Almost surely, 21074690540 is an apocalyptic number.

1074690540 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 1074690540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235182040).

1074690540 is an abundant number, since it is smaller than the sum of its proper divisors (3395673540).

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

1074690540 is a wasteful number, since it uses less digits than its factorization.

1074690540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1074690540 is about 32782.4730610734. The cubic root of 1074690540 is about 1024.3014999139.

The spelling of 1074690540 in words is "one billion, seventy-four million, six hundred ninety thousand, five hundred forty".