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70074000 = 24325317229
BaseRepresentation
bin1000010110100…
…11111010010000
311212212010110100
410023103322100
5120414332000
610541532400
71510422243
oct413237220
9155763410
1070074000
11366116a7
121b574100
1311696409
14944125a
156242a00
hex42d3e90

70074000 has 240 divisors, whose sum is σ = 260273520. Its totient is φ = 17510400.

The previous prime is 70073999. The next prime is 70074001. The reversal of 70074000 is 47007.

It is an interprime number because it is at equal distance from previous prime (70073999) and next prime (70074001).

It can be written as a sum of positive squares in 8 ways, for example, as 2702736 + 67371264 = 1644^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70074001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305886 + ... + 306114.

It is an arithmetic number, because the mean of its divisors is an integer number (1084473).

Almost surely, 270074000 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 70074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130136760).

70074000 is an abundant number, since it is smaller than the sum of its proper divisors (190199520).

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

70074000 is a wasteful number, since it uses less digits than its factorization.

70074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 70074000 is about 8371.0214430498. The cubic root of 70074000 is about 412.2737050798.

The spelling of 70074000 in words is "seventy million, seventy-four thousand".