Search a number
-
+
97526130 = 23513298623
BaseRepresentation
bin1011101000000…
…10000101110010
320210111211200220
411310002011302
5144431314010
613402153510
72262646512
oct564020562
9223454626
1097526130
1150061909
12287b2896
1317288790
14cd49842
158866970
hex5d02172

97526130 has 64 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 23175936.

The previous prime is 97526123. The next prime is 97526131. The reversal of 97526130 is 3162579.

It is a super-2 number, since 2×975261302 = 19022692065553800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97526091 and 97526100.

It is not an unprimeable number, because it can be changed into a prime (97526131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6999 + ... + 15621.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 297526130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97526130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

97526130 is an abundant number, since it is smaller than the sum of its proper divisors (163263630).

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

97526130 is a wasteful number, since it uses less digits than its factorization.

97526130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 97526130 is about 9875.5318844101. The cubic root of 97526130 is about 460.2993168528.

The spelling of 97526130 in words is "ninety-seven million, five hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 8623 11310 17246 25869 43115 51738 86230 112099 129345 224198 250067 258690 336297 500134 560495 672594 750201 1120990 1250335 1500402 1681485 2500670 3250871 3362970 3751005 6501742 7502010 9752613 16254355 19505226 32508710 48763065 97526130