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97619620 = 22573183271
BaseRepresentation
bin1011101000110…
…00111010100100
320210200120221111
411310120322210
5144442311440
613404154404
72263516210
oct564307244
9223616844
1097619620
115011607a
1228838a04
13172bc1b7
14cd71940
1588844ea
hex5d18ea4

97619620 has 96 divisors (see below), whose sum is σ = 245661696. Its totient is φ = 31881600.

The previous prime is 97619609. The next prime is 97619623. The reversal of 97619620 is 2691679.

It is not an unprimeable number, because it can be changed into a prime (97619623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360085 + ... + 360355.

It is an arithmetic number, because the mean of its divisors is an integer number (2558976).

Almost surely, 297619620 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 97619620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122830848).

97619620 is an abundant number, since it is smaller than the sum of its proper divisors (148042076).

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

97619620 is a wasteful number, since it uses less digits than its factorization.

97619620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 97619620 is about 9880.2641665089. The cubic root of 97619620 is about 460.4463531382.

The spelling of 97619620 in words is "ninety-seven million, six hundred nineteen thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 83 124 140 155 166 217 271 310 332 415 434 542 581 620 830 868 1084 1085 1162 1355 1660 1897 2170 2324 2573 2710 2905 3794 4340 5146 5420 5810 7588 8401 9485 10292 11620 12865 16802 18011 18970 22493 25730 33604 36022 37940 42005 44986 51460 58807 72044 84010 89972 90055 112465 117614 157451 168020 180110 224930 235228 294035 314902 360220 449860 588070 629804 697283 787255 1176140 1394566 1574510 2789132 3149020 3486415 4880981 6972830 9761962 13945660 19523924 24404905 48809810 97619620