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97150320 = 24335411097
BaseRepresentation
bin1011100101001…
…10010101110000
320202210202012000
411302212111300
5144332302240
613350134000
72256523041
oct562462560
9222722160
1097150320
114a925523
1228651300
13171866c7
14cc8c8c8
1587e0430
hex5ca6570

97150320 has 160 divisors (see below), whose sum is σ = 343103040. Its totient is φ = 25251840.

The previous prime is 97150307. The next prime is 97150337. The reversal of 97150320 is 2305179.

It is a super-3 number, since 3×971503203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 88012 + ... + 89108.

It is an arithmetic number, because the mean of its divisors is an integer number (2144394).

Almost surely, 297150320 is an apocalyptic number.

97150320 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 97150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

97150320 is an abundant number, since it is smaller than the sum of its proper divisors (245952720).

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

97150320 is a wasteful number, since it uses less digits than its factorization.

97150320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97150320 is about 9856.4861893070. The cubic root of 97150320 is about 459.7073122335.

Adding to 97150320 its reverse (2305179), we get a palindrome (99455499).

The spelling of 97150320 in words is "ninety-seven million, one hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1097 1107 1230 1476 1640 1845 1968 2160 2194 2214 2460 2952 3280 3291 3690 4388 4428 4920 5485 5535 5904 6582 7380 8776 8856 9840 9873 10970 11070 13164 14760 16455 17552 17712 19746 21940 22140 26328 29520 29619 32910 39492 43880 44280 44977 49365 52656 59238 65820 78984 87760 88560 89954 98730 118476 131640 134931 148095 157968 179908 197460 224885 236952 263280 269862 296190 359816 394920 404793 449770 473904 539724 592380 674655 719632 789840 809586 899540 1079448 1184760 1214379 1349310 1619172 1799080 2023965 2158896 2369520 2428758 2698620 3238344 3598160 4047930 4857516 5397240 6071895 6476688 8095860 9715032 10794480 12143790 16191720 19430064 24287580 32383440 48575160 97150320