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9690400 = 255212113
BaseRepresentation
bin100100111101…
…110100100000
3200020022201201
4210331310200
54440043100
6543410544
7145236616
oct44756440
920208651
109690400
1155195a5
1232b3a54
132013985
1414036b6
15cb636a
hex93dd20

9690400 has 36 divisors (see below), whose sum is σ = 23658642. Its totient is φ = 3875840.

The previous prime is 9690371. The next prime is 9690407. The reversal of 9690400 is 40969.

It can be written as a sum of positive squares in 3 ways, for example, as 6290064 + 3400336 = 2508^2 + 1844^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9690407) 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 5 ways as a sum of consecutive naturals, for example, 5257 + ... + 6856.

Almost surely, 29690400 is an apocalyptic number.

It is an amenable number.

9690400 is an abundant number, since it is smaller than the sum of its proper divisors (13968242).

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

9690400 is a wasteful number, since it uses less digits than its factorization.

9690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9690400 is about 3112.9407318483. The cubic root of 9690400 is about 213.1967441631.

The spelling of 9690400 in words is "nine million, six hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12113 24226 48452 60565 96904 121130 193808 242260 302825 387616 484520 605650 969040 1211300 1938080 2422600 4845200 9690400