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70074144 = 2532734759
BaseRepresentation
bin1000010110100…
…11111100100000
311212212010122200
410023103330200
5120414333034
610541533200
71510422540
oct413237440
9155763580
1070074144
1136611818
121b574200
13116964ba
149441320
156242a99
hex42d3f20

70074144 has 72 divisors (see below), whose sum is σ = 227747520. Its totient is φ = 20020608.

The previous prime is 70074139. The next prime is 70074149. The reversal of 70074144 is 44147007.

It is an interprime number because it is at equal distance from previous prime (70074139) and next prime (70074149).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (70074149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15364 + ... + 19395.

It is an arithmetic number, because the mean of its divisors is an integer number (3163160).

Almost surely, 270074144 is an apocalyptic number.

It is an amenable number.

70074144 is an abundant number, since it is smaller than the sum of its proper divisors (157673376).

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

70074144 is a wasteful number, since it uses less digits than its factorization.

70074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34782 (or 34771 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 70074144 is about 8371.0300441463. The cubic root of 70074144 is about 412.2739874831.

The spelling of 70074144 in words is "seventy million, seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 34759 69518 104277 139036 208554 243313 278072 312831 417108 486626 556144 625662 729939 834216 973252 1112288 1251324 1459878 1668432 1946504 2189817 2502648 2919756 3336864 3893008 4379634 5005296 5839512 7786016 8759268 10010592 11679024 17518536 23358048 35037072 70074144