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97109880 = 23357193599
BaseRepresentation
bin1011100100111…
…00011101111000
320202201200201020
411302130131320
5144330004010
613345222440
72256264120
oct562343570
9222650636
1097109880
114a8a80aa
1228631a20
131717118a
14cc7bc80
1587d3470
hex5c9c778

97109880 has 128 divisors (see below), whose sum is σ = 335232000. Its totient is φ = 22044672.

The previous prime is 97109879. The next prime is 97109911. The reversal of 97109880 is 8890179.

It is a super-2 number, since 2×971098802 = 18860657587228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161821 + ... + 162419.

It is an arithmetic number, because the mean of its divisors is an integer number (2619000).

Almost surely, 297109880 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 97109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616000).

97109880 is an abundant number, since it is smaller than the sum of its proper divisors (238122120).

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

97109880 is a wasteful number, since it uses less digits than its factorization.

97109880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 97109880 is about 9854.4345347666. The cubic root of 97109880 is about 459.6435171311.

The spelling of 97109880 in words is "ninety-seven million, one hundred nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 193 210 280 386 420 579 599 772 840 965 1158 1198 1351 1544 1797 1930 2316 2396 2702 2895 2995 3594 3860 4053 4193 4632 4792 5404 5790 5990 6755 7188 7720 8106 8386 8985 10808 11580 11980 12579 13510 14376 16212 16772 17970 20265 20965 23160 23960 25158 27020 32424 33544 35940 40530 41930 50316 54040 62895 71880 81060 83860 100632 115607 125790 162120 167720 231214 251580 346821 462428 503160 578035 693642 809249 924856 1156070 1387284 1618498 1734105 2312140 2427747 2774568 3236996 3468210 4046245 4624280 4855494 6473992 6936420 8092490 9710988 12138735 13872840 16184980 19421976 24277470 32369960 48554940 97109880