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70073120 = 2551359571
BaseRepresentation
bin1000010110100…
…11101100100000
311212212002020202
410023103230200
5120414314440
610541524332
71510416545
oct413235440
9155762222
1070073120
1136610a77
121b5736a8
1311695bb0
149440bcc
156242615
hex42d3b20

70073120 has 96 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 25390080.

The previous prime is 70073117. The next prime is 70073149. The reversal of 70073120 is 2137007.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 70073092 and 70073101.

It is an unprimeable number.

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, 122435 + ... + 123005.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 270073120 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 70073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

70073120 is an abundant number, since it is smaller than the sum of its proper divisors (111548320).

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

70073120 is a wasteful number, since it uses less digits than its factorization.

70073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 70073120 is about 8370.9688806016. The cubic root of 70073120 is about 412.2719792739.

The spelling of 70073120 in words is "seventy million, seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 236 260 295 416 472 520 571 590 767 944 1040 1142 1180 1534 1888 2080 2284 2360 2855 3068 3835 4568 4720 5710 6136 7423 7670 9136 9440 11420 12272 14846 15340 18272 22840 24544 29692 30680 33689 37115 45680 59384 61360 67378 74230 91360 118768 122720 134756 148460 168445 237536 269512 296920 336890 437957 539024 593840 673780 875914 1078048 1187680 1347560 1751828 2189785 2695120 3503656 4379570 5390240 7007312 8759140 14014624 17518280 35036560 70073120