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70672896 = 293272313
BaseRepresentation
bin1000011011001…
…10001000000000
311220222112222200
410031212020000
5121043013041
611002433200
71515465300
oct415461000
9156875880
1070672896
1136990658
121b802800
1311845ba8
149559600
1563101b6
hex4366200

70672896 has 180 divisors, whose sum is σ = 238025502. Its totient is φ = 20127744.

The previous prime is 70672883. The next prime is 70672907. The reversal of 70672896 is 69827607.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 112896 = 8400^2 + 336^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225636 + ... + 225948.

Almost surely, 270672896 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 70672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119012751).

70672896 is an abundant number, since it is smaller than the sum of its proper divisors (167352606).

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

70672896 is a wasteful number, since it uses less digits than its factorization.

70672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 70672896 is about 8406.7173141483. The cubic root of 70672896 is about 413.4448906884. Note that the first 3 decimals are identical.

The spelling of 70672896 in words is "seventy million, six hundred seventy-two thousand, eight hundred ninety-six".