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70011120 = 2435487599
BaseRepresentation
bin1000010110001…
…00100011110000
311212201221012110
410023010203300
5120410323440
610540325320
71510041024
oct413044360
9155657173
1070011120
1136579433
121b543840
13116738ca
149426384
15622e080
hex42c48f0

70011120 has 80 divisors (see below), whose sum is σ = 217843200. Its totient is φ = 18600192.

The previous prime is 70011107. The next prime is 70011121. The reversal of 70011120 is 2111007.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 70011096 and 70011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116581 + ... + 117179.

It is an arithmetic number, because the mean of its divisors is an integer number (2723040).

Almost surely, 270011120 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 70011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108921600).

70011120 is an abundant number, since it is smaller than the sum of its proper divisors (147832080).

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

70011120 is a wasteful number, since it uses less digits than its factorization.

70011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 70011120 is about 8367.2647860576. The cubic root of 70011120 is about 412.1503520123.

Adding to 70011120 its reverse (2111007), we get a palindrome (72122127).

The spelling of 70011120 in words is "seventy million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 487 599 974 1198 1461 1797 1948 2396 2435 2922 2995 3594 3896 4792 4870 5844 5990 7188 7305 7792 8985 9584 9740 11688 11980 14376 14610 17970 19480 23376 23960 28752 29220 35940 38960 47920 58440 71880 116880 143760 291713 583426 875139 1166852 1458565 1750278 2333704 2917130 3500556 4375695 4667408 5834260 7001112 8751390 11668520 14002224 17502780 23337040 35005560 70011120