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1052705790 = 2325174316001
BaseRepresentation
bin111110101111110…
…000001111111110
32201100211222212100
4332233300033332
54123443041130
6252243045530
735041565043
oct7657601776
92640758770
101052705790
114a0252494
122546708a6
1313a132046
149db4b1ca
1562642c60
hex3ebf03fe

1052705790 has 96 divisors (see below), whose sum is σ = 2965618656. Its totient is φ = 258048000.

The previous prime is 1052705777. The next prime is 1052705813. The reversal of 1052705790 is 975072501.

1052705790 is a `hidden beast` number, since 10 + 5 + 2 + 70 + 579 + 0 = 666.

It is a super-2 number, since 2×10527057902 = 2216378960599048200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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, 57790 + ... + 73790.

It is an arithmetic number, because the mean of its divisors is an integer number (30891861).

Almost surely, 21052705790 is an apocalyptic number.

1052705790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052705790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482809328).

1052705790 is an abundant number, since it is smaller than the sum of its proper divisors (1912912866).

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

1052705790 is a wasteful number, since it uses less digits than its factorization.

1052705790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074 (or 16071 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 1052705790 is about 32445.4278751259. The cubic root of 1052705790 is about 1017.2686730509.

The spelling of 1052705790 in words is "one billion, fifty-two million, seven hundred five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 43 45 51 85 86 90 102 129 153 170 215 255 258 306 387 430 510 645 731 765 774 1290 1462 1530 1935 2193 3655 3870 4386 6579 7310 10965 13158 16001 21930 32002 32895 48003 65790 80005 96006 144009 160010 240015 272017 288018 480030 544034 688043 720045 816051 1360085 1376086 1440090 1632102 2064129 2448153 2720170 3440215 4080255 4128258 4896306 6192387 6880430 8160510 10320645 11696731 12240765 12384774 20641290 23393462 24481530 30961935 35090193 58483655 61923870 70180386 105270579 116967310 175450965 210541158 350901930 526352895 1052705790