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97096140 = 223253761239
BaseRepresentation
bin1011100100110…
…01000111001100
320202200222212100
411302121013030
5144324034030
613345035100
72256206061
oct562310714
9222628770
1097096140
114a898849
1228625a90
1317167b4b
14cc76c68
1587ce360
hex5c991cc

97096140 has 144 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 24675840.

The previous prime is 97096117. The next prime is 97096169. The reversal of 97096140 is 4169079.

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 = 97096095 and 97096104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 406141 + ... + 406379.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 297096140 is an apocalyptic number.

97096140 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 97096140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

97096140 is an abundant number, since it is smaller than the sum of its proper divisors (211634100).

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

97096140 is a wasteful number, since it uses less digits than its factorization.

97096140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97096140 is about 9853.7373620368. The cubic root of 97096140 is about 459.6218379096.

The spelling of 97096140 in words is "ninety-seven million, ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 61 74 90 111 122 148 180 183 185 222 239 244 305 333 366 370 444 478 549 555 610 666 717 732 740 915 956 1098 1110 1195 1220 1332 1434 1665 1830 2151 2196 2220 2257 2390 2745 2868 3330 3585 3660 4302 4514 4780 5490 6660 6771 7170 8604 8843 9028 10755 10980 11285 13542 14340 14579 17686 20313 21510 22570 26529 27084 29158 33855 35372 40626 43020 43737 44215 45140 53058 58316 67710 72895 79587 81252 87474 88430 101565 106116 131211 132645 135420 145790 159174 174948 176860 203130 218685 262422 265290 291580 318348 397935 406260 437370 524844 530580 539423 656055 795870 874740 1078846 1312110 1591740 1618269 2157692 2624220 2697115 3236538 4854807 5394230 6473076 8091345 9709614 10788460 16182690 19419228 24274035 32365380 48548070 97096140