Search a number
-
+
1020706995 = 357211223499
BaseRepresentation
bin111100110101101…
…100000010110011
32122010122021202210
4330311230002303
54042300110440
6245141143203
734202603100
oct7465540263
92563567683
101020706995
11484187300
122459bab03
1313360a349
14997bbaa7
155e921a80
hex3cd6c0b3

1020706995 has 144 divisors (see below), whose sum is σ = 2183328000. Its totient is φ = 404933760.

The previous prime is 1020706991. The next prime is 1020707033. The reversal of 1020706995 is 5996070201.

It is not a de Polignac number, because 1020706995 - 22 = 1020706991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020706991) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2045256 + ... + 2045754.

It is an arithmetic number, because the mean of its divisors is an integer number (15162000).

Almost surely, 21020706995 is an apocalyptic number.

1020706995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020706995 is an abundant number, since it is smaller than the sum of its proper divisors (1162621005).

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

1020706995 is a wasteful number, since it uses less digits than its factorization.

1020706995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1020706995 is about 31948.5053641012. The cubic root of 1020706995 is about 1006.8552301016.

The spelling of 1020706995 in words is "one billion, twenty million, seven hundred six thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 49 55 69 77 105 115 121 147 161 165 231 245 253 345 363 385 483 499 539 605 735 759 805 847 1127 1155 1265 1497 1617 1771 1815 2415 2495 2541 2695 2783 3381 3493 3795 4235 5313 5489 5635 5929 7485 8085 8349 8855 10479 11477 12397 12705 13915 16467 16905 17465 17787 19481 24451 26565 27445 29645 34431 37191 38423 41745 52395 57385 58443 60379 61985 73353 80339 82335 88935 97405 115269 122255 126247 136367 172155 181137 185955 192115 241017 268961 292215 301895 366765 378741 401695 409101 422653 562373 576345 631235 681835 806883 883729 905685 1205085 1267959 1344805 1388717 1687119 1893705 2045505 2113265 2651187 2811865 2958571 4034415 4166151 4418645 6186103 6339795 6943585 8435595 8875713 9721019 13255935 14792855 18558309 20830755 29163057 30930515 44378565 48605095 68047133 92791545 145815285 204141399 340235665 1020706995