Search a number
-
+
795720 = 233519349
BaseRepresentation
bin11000010010001001000
31111102112010
43002101020
5200430340
625015520
76522612
oct3022110
91442463
10795720
114a3922
123245a0
1321b253
14169db2
1510ab80
hexc2448

795720 has 64 divisors (see below), whose sum is σ = 2520000. Its totient is φ = 200448.

The previous prime is 795713. The next prime is 795727. The reversal of 795720 is 27597.

795720 = T416 + T417 + ... + T424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (795713) and next prime (795727).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (795727) by changing a digit.

795720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (39375).

2795720 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 795720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000).

795720 is an abundant number, since it is smaller than the sum of its proper divisors (1724280).

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

795720 is a wasteful number, since it uses less digits than its factorization.

795720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 795720 is about 892.0313895822. The cubic root of 795720 is about 92.6659305591.

The spelling of 795720 in words is "seven hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 349 380 456 570 698 760 1047 1140 1396 1745 2094 2280 2792 3490 4188 5235 6631 6980 8376 10470 13262 13960 19893 20940 26524 33155 39786 41880 53048 66310 79572 99465 132620 159144 198930 265240 397860 795720