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97243920 = 243251311031
BaseRepresentation
bin1011100101111…
…01001100010000
320202222111120200
411302331030100
5144343301140
613352135200
72260362654
oct562751420
9222874520
1097243920
114a989884
1228697500
13171ba1a7
14ccb4a64
15880d030
hex5cbd310

97243920 has 120 divisors (see below), whose sum is σ = 329389632. Its totient is φ = 25708800.

The previous prime is 97243903. The next prime is 97243921. The reversal of 97243920 is 2934279.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (97243921) 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 23 ways as a sum of consecutive naturals, for example, 93805 + ... + 94835.

Almost surely, 297243920 is an apocalyptic number.

97243920 is a gapful number since it is divisible by the number (90) 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 97243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164694816).

97243920 is an abundant number, since it is smaller than the sum of its proper divisors (232145712).

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

97243920 is a wasteful number, since it uses less digits than its factorization.

97243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97243920 is about 9861.2331886027. The cubic root of 97243920 is about 459.8549006755.

The spelling of 97243920 in words is "ninety-seven million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1031 1048 1179 1310 1572 1965 2062 2096 2358 2620 3093 3144 3930 4124 4716 5155 5240 5895 6186 6288 7860 8248 9279 9432 10310 10480 11790 12372 15465 15720 16496 18558 18864 20620 23580 24744 30930 31440 37116 41240 46395 47160 49488 61860 74232 82480 92790 94320 123720 135061 148464 185580 247440 270122 371160 405183 540244 675305 742320 810366 1080488 1215549 1350610 1620732 2025915 2160976 2431098 2701220 3241464 4051830 4862196 5402440 6077745 6482928 8103660 9724392 10804880 12155490 16207320 19448784 24310980 32414640 48621960 97243920