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97357140 = 22345193163
BaseRepresentation
bin1011100110110…
…00110101010100
320210012020220000
411303120311110
5144410412030
613354411300
72261344026
oct563306524
9223166800
1097357140
114aa56951
1228730b30
131722989a
14cd04016
158831860
hex5cd8d54

97357140 has 120 divisors (see below), whose sum is σ = 321588960. Its totient is φ = 24587712.

The previous prime is 97357087. The next prime is 97357153. The reversal of 97357140 is 4175379.

It is a happy number.

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 = 97357095 and 97357104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29199 + ... + 32361.

It is an arithmetic number, because the mean of its divisors is an integer number (2679908).

Almost surely, 297357140 is an apocalyptic number.

97357140 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 97357140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160794480).

97357140 is an abundant number, since it is smaller than the sum of its proper divisors (224231820).

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

97357140 is a wasteful number, since it uses less digits than its factorization.

97357140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97357140 is about 9866.9721799547. The cubic root of 97357140 is about 460.0332994167.

The spelling of 97357140 in words is "ninety-seven million, three hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3163 3420 5130 6156 6326 7695 9489 10260 12652 15390 15815 18978 28467 30780 31630 37956 47445 56934 60097 63260 85401 94890 113868 120194 142335 170802 180291 189780 240388 256203 284670 300485 341604 360582 427005 512406 540873 569340 600970 721164 854010 901455 1024812 1081746 1201940 1281015 1622619 1708020 1802910 2163492 2562030 2704365 3245238 3605820 4867857 5124060 5408730 6490476 8113095 9735714 10817460 16226190 19471428 24339285 32452380 48678570 97357140