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96528040 = 23572172897
BaseRepresentation
bin1011100000011…
…10011010101000
320201122010120121
411300032122220
5144202344130
613324533024
72251321600
oct560163250
9221563517
1096528040
114a53aa44
12283b1174
1316cc93ab
14cb69c00
15871ad7a
hex5c0e6a8

96528040 has 96 divisors (see below), whose sum is σ = 267601320. Its totient is φ = 31137792.

The previous prime is 96528031. The next prime is 96528043. The reversal of 96528040 is 4082569.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71267364 + 25260676 = 8442^2 + 5026^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 96527987 and 96528005.

It is not an unprimeable number, because it can be changed into a prime (96528043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31872 + ... + 34768.

Almost surely, 296528040 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 96528040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133800660).

96528040 is an abundant number, since it is smaller than the sum of its proper divisors (171073280).

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

96528040 is a wasteful number, since it uses less digits than its factorization.

96528040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 96528040 is about 9824.8684469564. The cubic root of 96528040 is about 458.7236831763.

The spelling of 96528040 in words is "ninety-six million, five hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 2897 3332 4165 4760 5794 6664 8330 11588 14485 16660 20279 23176 28970 33320 40558 49249 57940 81116 98498 101395 115880 141953 162232 196996 202790 246245 283906 344743 393992 405580 492490 567812 689486 709765 811160 984980 1135624 1378972 1419530 1723715 1969960 2413201 2757944 2839060 3447430 4826402 5678120 6894860 9652804 12066005 13789720 19305608 24132010 48264020 96528040