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70072128 = 263471931
BaseRepresentation
bin1000010110100…
…11011101000000
311212212000220000
410023103131000
5120414302003
610541520000
71510413630
oct413233500
9155760800
1070072128
1136610255
121b573000
13116955c9
1494406c0
1562421a3
hex42d3740

70072128 has 140 divisors (see below), whose sum is σ = 237512352. Its totient is φ = 20010240.

The previous prime is 70072111. The next prime is 70072193. The reversal of 70072128 is 82127007.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 35323 + ... + 37253.

Almost surely, 270072128 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 70072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118756176).

70072128 is an abundant number, since it is smaller than the sum of its proper divisors (167440224).

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

70072128 is a wasteful number, since it uses less digits than its factorization.

70072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 70072128 is about 8370.9096279915. The cubic root of 70072128 is about 412.2700338026.

The spelling of 70072128 in words is "seventy million, seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 1931 2016 2268 2592 3024 3862 4032 4536 5184 5793 6048 7724 9072 11586 12096 13517 15448 17379 18144 23172 27034 30896 34758 36288 40551 46344 52137 54068 61792 69516 81102 92688 104274 108136 121653 123584 139032 156411 162204 185376 208548 216272 243306 278064 312822 324408 364959 370752 417096 432544 486612 556128 625644 648816 729918 834192 865088 973224 1094877 1112256 1251288 1297632 1459836 1668384 1946448 2189754 2502576 2595264 2919672 3336768 3892896 4379508 5005152 5839344 7785792 8759016 10010304 11678688 17518032 23357376 35036064 70072128