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70087032 = 2335311163
BaseRepresentation
bin1000010110101…
…11000101111000
311212212210100000
410023113011320
5120420241112
610542113000
71510505241
oct413270570
9155783300
1070087032
1136620474
121b57b760
131169c322
149445cc8
1562467dc
hex42d7178

70087032 has 96 divisors (see below), whose sum is σ = 203374080. Its totient is φ = 22589280.

The previous prime is 70087009. The next prime is 70087037. The reversal of 70087032 is 23078007.

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

It is a junction number, because it is equal to n+sod(n) for n = 70086987 and 70087005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70087037) 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 23 ways as a sum of consecutive naturals, for example, 59683 + ... + 60845.

It is an arithmetic number, because the mean of its divisors is an integer number (2118480).

Almost surely, 270087032 is an apocalyptic number.

70087032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70087032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101687040).

70087032 is an abundant number, since it is smaller than the sum of its proper divisors (133287048).

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

70087032 is a wasteful number, since it uses less digits than its factorization.

70087032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 70087032 is about 8371.7998064932. The cubic root of 70087032 is about 412.2992610059.

The spelling of 70087032 in words is "seventy million, eighty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 972 1116 1163 1674 1944 2232 2326 2511 3348 3489 4652 5022 6696 6978 7533 9304 10044 10467 13956 15066 20088 20934 27912 30132 31401 36053 41868 60264 62802 72106 83736 94203 108159 125604 144212 188406 216318 251208 282609 288424 324477 376812 432636 565218 648954 753624 865272 973431 1130436 1297908 1946862 2260872 2595816 2920293 3893724 5840586 7787448 8760879 11681172 17521758 23362344 35043516 70087032