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97106944 = 2101137233
BaseRepresentation
bin1011100100110…
…11110000000000
320202201112200111
411302123300000
5144324410234
613345201104
72256252424
oct562336000
9222645614
1097106944
114a8a5980
1228630194
131716ca3c
14cc7ab84
1587d2664
hex5c9bc00

97106944 has 88 divisors (see below), whose sum is σ = 218423088. Its totient is φ = 42762240.

The previous prime is 97106917. The next prime is 97106953. The reversal of 97106944 is 44960179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97106897 and 97106906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416652 + ... + 416884.

Almost surely, 297106944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109211544).

97106944 is an abundant number, since it is smaller than the sum of its proper divisors (121316144).

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

97106944 is a wasteful number, since it uses less digits than its factorization.

97106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 97106944 is about 9854.2855651742. The cubic root of 97106944 is about 459.6388848288.

The spelling of 97106944 in words is "ninety-seven million, one hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 233 256 296 352 407 466 512 592 704 814 932 1024 1184 1408 1628 1864 2368 2563 2816 3256 3728 4736 5126 5632 6512 7456 8621 9472 10252 11264 13024 14912 17242 18944 20504 26048 29824 34484 37888 41008 52096 59648 68968 82016 94831 104192 119296 137936 164032 189662 208384 238592 275872 328064 379324 416768 551744 656128 758648 1103488 1312256 1517296 2206976 2624512 3034592 4413952 6069184 8827904 12138368 24276736 48553472 97106944