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1022013040 = 24519672377
BaseRepresentation
bin111100111010101…
…010111001110000
32122020002122022211
4330322222321300
54043113404130
6245225141504
734216652566
oct7472527160
92566078284
101022013040
11484999584
1224632a894
13133976959
1499a3ba36
155eacda2a
hex3ceaae70

1022013040 has 40 divisors (see below), whose sum is σ = 2501246160. Its totient is φ = 387288576.

The previous prime is 1022013029. The next prime is 1022013079. The reversal of 1022013040 is 403102201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1022013040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334669 + ... + 337708.

It is an arithmetic number, because the mean of its divisors is an integer number (62531154).

Almost surely, 21022013040 is an apocalyptic number.

1022013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022013040 is an abundant number, since it is smaller than the sum of its proper divisors (1479233120).

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

1022013040 is a wasteful number, since it uses less digits than its factorization.

1022013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672409 (or 672403 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1022013040 is about 31968.9386749076. The cubic root of 1022013040 is about 1007.2844873960.

Adding to 1022013040 its reverse (403102201), we get a palindrome (1425115241).

The spelling of 1022013040 in words is "one billion, twenty-two million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 672377 1344754 2689508 3361885 5379016 6723770 10758032 12775163 13447540 25550326 26895080 51100652 53790160 63875815 102201304 127751630 204402608 255503260 511006520 1022013040