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8145400 = 2352139293
BaseRepresentation
bin11111000100100111111000
3120022211101111
4133010213320
54041123100
6450330104
7126143344
oct37044770
916284344
108145400
11466383a
122889934
1318c2683
141120624
15aad6ba
hex7c49f8

8145400 has 48 divisors (see below), whose sum is σ = 19139400. Its totient is φ = 3223680.

The previous prime is 8145367. The next prime is 8145407. The reversal of 8145400 is 45418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145407) 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 11 ways as a sum of consecutive naturals, for example, 27654 + ... + 27946.

Almost surely, 28145400 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 8145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569700).

8145400 is an abundant number, since it is smaller than the sum of its proper divisors (10994000).

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

8145400 is a wasteful number, since it uses less digits than its factorization.

8145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 8145400 is about 2854.0147161499. The cubic root of 8145400 is about 201.2043992203.

The spelling of 8145400 in words is "eight million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 293 556 586 695 1112 1172 1390 1465 2344 2780 2930 3475 5560 5860 6950 7325 11720 13900 14650 27800 29300 40727 58600 81454 162908 203635 325816 407270 814540 1018175 1629080 2036350 4072700 8145400