Search a number
-
+
70016076 = 2236131847
BaseRepresentation
bin1000010110001…
…01110001001100
311212202012000000
410023011301030
5120411003301
610540404300
71510061334
oct413056114
9155665000
1070016076
1136582129
121b546690
1311675c40
1494280c4
156230786
hex42c5c4c

70016076 has 84 divisors (see below), whose sum is σ = 197946672. Its totient is φ = 21531744.

The previous prime is 70016059. The next prime is 70016077. The reversal of 70016076 is 67061007.

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

It is not an unprimeable number, because it can be changed into a prime (70016077) 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 27 ways as a sum of consecutive naturals, for example, 36985 + ... + 38831.

It is an arithmetic number, because the mean of its divisors is an integer number (2356508).

Almost surely, 270016076 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 70016076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98973336).

70016076 is an abundant number, since it is smaller than the sum of its proper divisors (127930596).

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

70016076 is a wasteful number, since it uses less digits than its factorization.

70016076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 70016076 is about 8367.5609349439. The cubic root of 70016076 is about 412.1600769862.

The spelling of 70016076 in words is "seventy million, sixteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 1847 2106 2916 3159 3694 4212 5541 6318 7388 9477 11082 12636 16623 18954 22164 24011 33246 37908 48022 49869 66492 72033 96044 99738 144066 149607 199476 216099 288132 299214 432198 448821 598428 648297 864396 897642 1296594 1346463 1795284 1944891 2593188 2692926 3889782 5385852 5834673 7779564 11669346 17504019 23338692 35008038 70016076