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1021005320 = 235291994423
BaseRepresentation
bin111100110110110…
…100111000001000
32122011012102222212
4330312310320020
54042334132240
6245151404252
734205254616
oct7466647010
92564172885
101021005320
11484370455
12245b23688
131336b307a
14998586b6
155e980165
hex3cdb4e08

1021005320 has 64 divisors (see below), whose sum is σ = 2388960000. Its totient is φ = 392249088.

The previous prime is 1021005317. The next prime is 1021005331. The reversal of 1021005320 is 235001201.

It is a happy number.

1021005320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1021005295 and 1021005304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228629 + ... + 233051.

It is an arithmetic number, because the mean of its divisors is an integer number (37327500).

Almost surely, 21021005320 is an apocalyptic number.

1021005320 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 1021005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480000).

1021005320 is an abundant number, since it is smaller than the sum of its proper divisors (1367954680).

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

1021005320 is a wasteful number, since it uses less digits than its factorization.

1021005320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1021005320 is about 31953.1738642658. The cubic root of 1021005320 is about 1006.9533127147.

Adding to 1021005320 its reverse (235001201), we get a palindrome (1256006521).

The spelling of 1021005320 in words is "one billion, twenty-one million, five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 199 232 290 398 580 796 995 1160 1592 1990 3980 4423 5771 7960 8846 11542 17692 22115 23084 28855 35384 44230 46168 57710 88460 115420 128267 176920 230840 256534 513068 641335 880177 1026136 1282670 1760354 2565340 3520708 4400885 5130680 7041416 8801770 17603540 25525133 35207080 51050266 102100532 127625665 204201064 255251330 510502660 1021005320