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70142880 = 2535295039
BaseRepresentation
bin1000010111001…
…00101110100000
311212222121221110
410023210232200
5120424033010
610543223320
71511130123
oct413445640
9155877843
1070142880
1136659425
121b5a7b40
13116bb882
14945c3ba
156258120
hex42e4ba0

70142880 has 96 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 18056192.

The previous prime is 70142873. The next prime is 70142881. The reversal of 70142880 is 8824107.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×701428802 = 9840047229388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (70142881) 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, 11401 + ... + 16439.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 270142880 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 70142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

70142880 is an abundant number, since it is smaller than the sum of its proper divisors (158471520).

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

70142880 is a wasteful number, since it uses less digits than its factorization.

70142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 70142880 is about 8375.1346257836. The cubic root of 70142880 is about 412.4087438168.

Adding to 70142880 its reverse (8824107), we get a palindrome (78966987).

The spelling of 70142880 in words is "seventy million, one hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 5039 6960 10078 13920 15117 20156 25195 30234 40312 50390 60468 75585 80624 100780 120936 146131 151170 161248 201560 241872 292262 302340 403120 438393 483744 584524 604680 730655 806240 876786 1169048 1209360 1461310 1753572 2191965 2338096 2418720 2922620 3507144 4383930 4676192 5845240 7014288 8767860 11690480 14028576 17535720 23380960 35071440 70142880