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70121120 = 255538269
BaseRepresentation
bin1000010110111…
…11011010100000
311212221112002112
410023133122200
5120422333440
610542534452
71511006516
oct413373240
9155845075
1070121120
1136644043
121b597428
13116b19b4
1494544b6
156251965
hex42df6a0

70121120 has 48 divisors (see below), whose sum is σ = 168807240. Its totient is φ = 27515904.

The previous prime is 70121083. The next prime is 70121123. The reversal of 70121120 is 2112107.

It can be written as a sum of positive squares in 4 ways, for example, as 69422224 + 698896 = 8332^2 + 836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 70121095 and 70121104.

It is not an unprimeable number, because it can be changed into a prime (70121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4346 + ... + 12614.

Almost surely, 270121120 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 70121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84403620).

70121120 is an abundant number, since it is smaller than the sum of its proper divisors (98686120).

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

70121120 is a wasteful number, since it uses less digits than its factorization.

70121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 70121120 is about 8373.8354414211. The cubic root of 70121120 is about 412.3660930521.

Adding to 70121120 its reverse (2112107), we get a palindrome (72233227).

The spelling of 70121120 in words is "seventy million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8269 8480 16538 33076 41345 66152 82690 132304 165380 264608 330760 438257 661520 876514 1323040 1753028 2191285 3506056 4382570 7012112 8765140 14024224 17530280 35060560 70121120