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70067440 = 24519311487
BaseRepresentation
bin1000010110100…
…10010011110000
311212211210110101
410023102103300
5120414124230
610541442144
71510364152
oct413222360
9155753411
1070067440
1136607783
121b570354
1311693431
14943cad2
156240aca
hex42d24f0

70067440 has 80 divisors (see below), whose sum is σ = 177131520. Its totient is φ = 25678080.

The previous prime is 70067429. The next prime is 70067441. The reversal of 70067440 is 4476007.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×700674402 = 9818892296307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 70067399 and 70067408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70067441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46377 + ... + 47863.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 270067440 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 70067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

70067440 is an abundant number, since it is smaller than the sum of its proper divisors (107064080).

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

70067440 is a wasteful number, since it uses less digits than its factorization.

70067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 70067440 is about 8370.6296059496. The cubic root of 70067440 is about 412.2608396333.

It can be divided in two parts, 70067 and 440, that added together give a palindrome (70507).

The spelling of 70067440 in words is "seventy million, sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1487 1520 2356 2480 2945 2974 4712 5890 5948 7435 9424 11780 11896 14870 23560 23792 28253 29740 46097 47120 56506 59480 92194 113012 118960 141265 184388 226024 230485 282530 368776 452048 460970 565060 737552 875843 921940 1130120 1751686 1843880 2260240 3503372 3687760 4379215 7006744 8758430 14013488 17516860 35033720 70067440