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70102176 = 2536111971
BaseRepresentation
bin1000010110110…
…10110010100000
311212220120002220
410023122302200
5120421232201
610542311040
71510600344
oct413326240
9155816086
1070102176
1136630891
121b588480
13116a61a1
14944b624
15624b036
hex42daca0

70102176 has 48 divisors (see below), whose sum is σ = 187050528. Its totient is φ = 22982400.

The previous prime is 70102171. The next prime is 70102187. The reversal of 70102176 is 67120107.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (70102171) 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 7 ways as a sum of consecutive naturals, for example, 130 + ... + 11841.

It is an arithmetic number, because the mean of its divisors is an integer number (3896886).

Almost surely, 270102176 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 70102176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93525264).

70102176 is an abundant number, since it is smaller than the sum of its proper divisors (116948352).

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

70102176 is a wasteful number, since it uses less digits than its factorization.

70102176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 70102176 is about 8372.7042226511. The cubic root of 70102176 is about 412.3289546129.

The spelling of 70102176 in words is "seventy million, one hundred two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 11971 23942 35913 47884 71826 95768 143652 191536 287304 383072 574608 730231 1149216 1460462 2190693 2920924 4381386 5841848 8762772 11683696 17525544 23367392 35051088 70102176