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1021190040 = 23325131131931
BaseRepresentation
bin111100110111100…
…001111110011000
32122011112211101100
4330313201332120
54042411040130
6245155351400
734206654303
oct7467417630
92564484340
101021190040
11484487212
12245bb2560
13133749180
14998a5b3a
155e9b9c60
hex3cde1f98

1021190040 has 192 divisors, whose sum is σ = 3607662240. Its totient is φ = 249016320.

The previous prime is 1021190039. The next prime is 1021190057. The reversal of 1021190040 is 400911201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021189995 and 1021190022.

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, 527875 + ... + 529805.

Almost surely, 21021190040 is an apocalyptic number.

1021190040 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 1021190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803831120).

1021190040 is an abundant number, since it is smaller than the sum of its proper divisors (2586472200).

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

1021190040 is a wasteful number, since it uses less digits than its factorization.

1021190040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1021190040 is about 31956.0642132288. The cubic root of 1021190040 is about 1007.0140349579.

The spelling of 1021190040 in words is "one billion, twenty-one million, one hundred ninety thousand, forty".