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70196400 = 243252173137
BaseRepresentation
bin1000010111100…
…01110010110000
311220002100100200
410023301302300
5120432241100
610544315200
71511442141
oct413616260
9156070320
1070196400
113669565a
121b612b00
131170a041
149473ac8
156268e00
hex42f1cb0

70196400 has 360 divisors, whose sum is σ = 273446784. Its totient is φ = 16588800.

The previous prime is 70196389. The next prime is 70196407. The reversal of 70196400 is 469107.

70196400 is a `hidden beast` number, since 7 + 0 + 19 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (70196407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897182 + ... + 1897218.

Almost surely, 270196400 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 70196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723392).

70196400 is an abundant number, since it is smaller than the sum of its proper divisors (203250384).

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

70196400 is a wasteful number, since it uses less digits than its factorization.

70196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 70196400 is about 8378.3291890448. The cubic root of 70196400 is about 412.5136083665.

The spelling of 70196400 in words is "seventy million, one hundred ninety-six thousand, four hundred".