Search a number
-
+
97299540 = 223251343967
BaseRepresentation
bin1011100110010…
…10110001010100
320210002022212200
411303022301110
5144402041130
613353244500
72261014062
oct563126124
9223068780
1097299540
114aa17648
1228703730
13172095c0
14cccb032
15881e760
hex5ccac54

97299540 has 144 divisors (see below), whose sum is σ = 325573248. Its totient is φ = 23369472.

The previous prime is 97299523. The next prime is 97299547. The reversal of 97299540 is 4599279.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97299547) by changing a digit.

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, 100137 + ... + 101103.

Almost surely, 297299540 is an apocalyptic number.

97299540 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 97299540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162786624).

97299540 is an abundant number, since it is smaller than the sum of its proper divisors (228273708).

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

97299540 is a wasteful number, since it uses less digits than its factorization.

97299540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 97299540 is about 9864.0529195661. The cubic root of 97299540 is about 459.9425574144.

The spelling of 97299540 in words is "ninety-seven million, two hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 967 1118 1170 1290 1548 1677 1934 1935 2236 2340 2580 2795 2901 3354 3868 3870 4835 5031 5590 5802 6708 7740 8385 8703 9670 10062 11180 11604 12571 14505 16770 17406 19340 20124 25142 25155 29010 33540 34812 37713 41581 43515 50284 50310 58020 62855 75426 83162 87030 100620 113139 124743 125710 150852 166324 174060 188565 207905 226278 249486 251420 374229 377130 415810 452556 498972 540553 565695 623715 748458 754260 831620 1081106 1131390 1247430 1496916 1621659 1871145 2162212 2262780 2494860 2702765 3243318 3742290 4864977 5405530 6486636 7484580 8108295 9729954 10811060 16216590 19459908 24324885 32433180 48649770 97299540