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70720 = 2651317
BaseRepresentation
bin10001010001000000
310121000021
4101101000
54230340
61303224
7413116
oct212100
9117007
1070720
1149151
1234b14
1326260
141bab6
1515e4a
hex11440

70720 has 56 divisors (see below), whose sum is σ = 192024. Its totient is φ = 24576.

The previous prime is 70717. The next prime is 70729. The reversal of 70720 is 2707.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 65536 = 72^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 70694 and 70703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4152 + ... + 4168.

It is an arithmetic number, because the mean of its divisors is an integer number (3429).

270720 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 70720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012).

70720 is an abundant number, since it is smaller than the sum of its proper divisors (121304).

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

70720 is a wasteful number, since it uses less digits than its factorization.

70720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 70720 is about 265.9323222175. The cubic root of 70720 is about 41.3536724966.

It can be divided in two parts, 707 and 20, that added together give a palindrome (727).

The spelling of 70720 in words is "seventy thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 2080 2210 2720 3536 4160 4420 5440 7072 8840 14144 17680 35360 70720