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970106802 = 237217672897
BaseRepresentation
bin111001110100101…
…010011110110010
32111121102112100120
4321310222132302
53441321404202
6240132431110
733016525500
oct7164523662
92447375316
10970106802
11458666665
12230a78496
13125ca19c2
1492ba9670
155a2790bc
hex39d2a7b2

970106802 has 96 divisors (see below), whose sum is σ = 2426251968. Its totient is φ = 256886784.

The previous prime is 970106801. The next prime is 970106827. The reversal of 970106802 is 208601079.

It is a super-2 number, since 2×9701068022 = 1882214414573334408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (970106801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333418 + ... + 336314.

It is an arithmetic number, because the mean of its divisors is an integer number (25273458).

Almost surely, 2970106802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970106802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213125984).

970106802 is an abundant number, since it is smaller than the sum of its proper divisors (1456145166).

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

970106802 is a wasteful number, since it uses less digits than its factorization.

970106802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 970106802 is about 31146.5375603774. The cubic root of 970106802 is about 989.9346288842.

The spelling of 970106802 in words is "nine hundred seventy million, one hundred six thousand, eight hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 67 98 102 119 134 147 201 238 294 357 402 469 714 833 938 1139 1407 1666 2278 2499 2814 2897 3283 3417 4998 5794 6566 6834 7973 8691 9849 15946 17382 19698 20279 23919 40558 47838 49249 55811 60837 98498 111622 121674 141953 147747 167433 194099 283906 295494 334866 344743 388198 425859 582297 689486 851718 1034229 1164594 1358693 2068458 2413201 2717386 3299683 4076079 4826402 6599366 7239603 8152158 9510851 9899049 14479206 19021702 19798098 23097781 28532553 46195562 57065106 69293343 138586686 161684467 323368934 485053401 970106802