Search a number
-
+
1072079151 = 3111323179607
BaseRepresentation
bin111111111001101…
…010000100101111
32202201022021010020
4333321222010233
54143423013101
6254214213223
735365344123
oct7771520457
92681267106
101072079151
11500184a30
1225b054213
13141156180
14a2551583
15641bd136
hex3fe6a12f

1072079151 has 64 divisors (see below), whose sum is σ = 1765048320. Its totient is φ = 569543040.

The previous prime is 1072079081. The next prime is 1072079171. The reversal of 1072079151 is 1519702701.

It is not a de Polignac number, because 1072079151 - 29 = 1072078639 is a prime.

It is a super-2 number, since 2×10720791512 = 2298707412017761602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072079171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1765890 + ... + 1766496.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 21072079151 is an apocalyptic number.

1072079151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1072079151 is a deficient number, since it is larger than the sum of its proper divisors (692969169).

1072079151 is a wasteful number, since it uses less digits than its factorization.

1072079151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 1072079151 is about 32742.6197943903. The cubic root of 1072079151 is about 1023.4711774359.

The spelling of 1072079151 in words is "one billion, seventy-two million, seventy-nine thousand, one hundred fifty-one".

Divisors: 1 3 11 13 23 33 39 69 143 179 253 299 429 537 607 759 897 1821 1969 2327 3289 4117 5907 6677 6981 7891 9867 12351 13961 20031 23673 25597 41883 45287 53521 76791 86801 108653 135861 153571 160563 181493 260403 325959 460713 544479 588731 1195183 1412489 1766193 1996423 2499019 3585549 4237467 5989269 7497057 15537379 27489209 32487247 46612137 82467627 97461741 357359717 1072079151