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1097306028 = 223471337217
BaseRepresentation
bin100000101100111…
…1000111110101100
32211110202220220000
41001121320332230
54221402243103
6300515024300
736122642640
oct10131707654
92743686800
101097306028
11513445295
1226759b090
13146449710
14a5a3ac20
1566502aa3
hex41678fac

1097306028 has 120 divisors (see below), whose sum is σ = 3530648352. Its totient is φ = 289391616.

The previous prime is 1097305981. The next prime is 1097306029. The reversal of 1097306028 is 8206037901.

1097306028 is a `hidden beast` number, since 10 + 9 + 7 + 30 + 602 + 8 = 666.

1097306028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1097305983 and 1097306001.

It is not an unprimeable number, because it can be changed into a prime (1097306029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10876 + ... + 48092.

Almost surely, 21097306028 is an apocalyptic number.

1097306028 is a gapful number since it is divisible by the number (18) 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 1097306028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765324176).

1097306028 is an abundant number, since it is smaller than the sum of its proper divisors (2433342324).

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

1097306028 is a wasteful number, since it uses less digits than its factorization.

1097306028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37253 (or 37242 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1097306028 is about 33125.6098509899. The cubic root of 1097306028 is about 1031.4367193804.

The spelling of 1097306028 in words is "one billion, ninety-seven million, three hundred six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 37217 74434 111651 148868 223302 260519 334953 446604 483821 521038 669906 781557 967642 1004859 1042076 1339812 1451463 1563114 1935284 2009718 2344671 2902926 3014577 3126228 3386747 4019436 4354389 4689342 5805852 6029154 6773494 7034013 8708778 9378684 10160241 12058308 13063167 13546988 14068026 17417556 20320482 21102039 26126334 28136052 30480723 39189501 40640964 42204078 52252668 60961446 78379002 84408156 91442169 121922892 156758004 182884338 274326507 365768676 548653014 1097306028