Search a number
-
+
70204800 = 2735271103
BaseRepresentation
bin1000010111100…
…11110110000000
311220002202212210
410023303312000
5120433023200
610544422120
71511505501
oct413636600
9156082783
1070204800
11366a09a6
121b617940
1311710b03
149476ba8
15626b650
hex42f3d80

70204800 has 192 divisors, whose sum is σ = 236770560. Its totient is φ = 18278400.

The previous prime is 70204787. The next prime is 70204831. The reversal of 70204800 is 840207.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681549 + ... + 681651.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 270204800 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 70204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

70204800 is an abundant number, since it is smaller than the sum of its proper divisors (166565760).

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

70204800 is a wasteful number, since it uses less digits than its factorization.

70204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 70204800 is about 8378.8304673146. The cubic root of 70204800 is about 412.5300620882.

The spelling of 70204800 in words is "seventy million, two hundred four thousand, eight hundred".