Search a number
-
+
71990280 = 23325311643
BaseRepresentation
bin1000100101001…
…11110000001000
312000110111002200
410102213300020
5121412142110
611051000200
71532623125
oct422476010
9160414080
1071990280
11377003aa
1220139060
1311bb76cb
1497bd74c
1564c06c0
hex44a7c08

71990280 has 96 divisors (see below), whose sum is σ = 235085760. Its totient is φ = 19105920.

The previous prime is 71990273. The next prime is 71990287. The reversal of 71990280 is 8209917.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71990273) and next prime (71990287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71990287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111639 + ... + 112281.

It is an arithmetic number, because the mean of its divisors is an integer number (2448810).

Almost surely, 271990280 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 71990280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117542880).

71990280 is an abundant number, since it is smaller than the sum of its proper divisors (163095480).

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

71990280 is a wasteful number, since it uses less digits than its factorization.

71990280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 71990280 is about 8484.7085984140. The cubic root of 71990280 is about 415.9980430135.

The spelling of 71990280 in words is "seventy-one million, nine hundred ninety thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 311 360 622 643 933 1244 1286 1555 1866 1929 2488 2572 2799 3110 3215 3732 3858 4665 5144 5598 5787 6220 6430 7464 7716 9330 9645 11196 11574 12440 12860 13995 15432 18660 19290 22392 23148 25720 27990 28935 37320 38580 46296 55980 57870 77160 111960 115740 199973 231480 399946 599919 799892 999865 1199838 1599784 1799757 1999730 2399676 2999595 3599514 3999460 4799352 5999190 7199028 7998920 8998785 11998380 14398056 17997570 23996760 35995140 71990280