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97430112 = 25321353491
BaseRepresentation
bin1011100111010…
…10101001100000
320210022221222200
411303222221200
5144420230422
613400133200
72262066543
oct563525140
9223287880
1097430112
114aaa675a
1228767200
1317253b70
14cd2285a
1588482ac
hex5ceaa60

97430112 has 144 divisors (see below), whose sum is σ = 304628688. Its totient is φ = 29352960.

The previous prime is 97430101. The next prime is 97430129. The reversal of 97430112 is 21103479.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 198187 + ... + 198677.

It is an arithmetic number, because the mean of its divisors is an integer number (2115477).

Almost surely, 297430112 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 97430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152314344).

97430112 is an abundant number, since it is smaller than the sum of its proper divisors (207198576).

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

97430112 is a wasteful number, since it uses less digits than its factorization.

97430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97430112 is about 9870.6692782202. The cubic root of 97430112 is about 460.1482068127.

The spelling of 97430112 in words is "ninety-seven million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 491 624 636 689 848 936 954 982 1248 1272 1378 1473 1696 1872 1908 1964 2067 2544 2756 2946 3744 3816 3928 4134 4419 5088 5512 5892 6201 6383 7632 7856 8268 8838 11024 11784 12402 12766 15264 15712 16536 17676 19149 22048 23568 24804 25532 26023 33072 35352 38298 47136 49608 51064 52046 57447 66144 70704 76596 78069 99216 102128 104092 114894 141408 153192 156138 198432 204256 208184 229788 234207 306384 312276 338299 416368 459576 468414 612768 624552 676598 832736 919152 936828 1014897 1249104 1353196 1838304 1873656 2029794 2498208 2706392 3044691 3747312 4059588 5412784 6089382 7494624 8119176 10825568 12178764 16238352 24357528 32476704 48715056 97430112