Search a number
-
+
80595840 = 2735133229
BaseRepresentation
bin1001100110111…
…00101110000000
312121122200201010
410303130232000
5131113031330
611555240520
71666024203
oct463345600
9177580633
1080595840
1141548936
1222ba9140
131390b660
14a9bd93a
1571203b0
hex4cdcb80

80595840 has 128 divisors (see below), whose sum is σ = 276746400. Its totient is φ = 19832832.

The previous prime is 80595833. The next prime is 80595847. The reversal of 80595840 is 4859508.

It is an interprime number because it is at equal distance from previous prime (80595833) and next prime (80595847).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80595847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23346 + ... + 26574.

Almost surely, 280595840 is an apocalyptic number.

80595840 is a gapful number since it is divisible by the number (80) 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 80595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138373200).

80595840 is an abundant number, since it is smaller than the sum of its proper divisors (196150560).

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

80595840 is a wasteful number, since it uses less digits than its factorization.

80595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 80595840 is about 8977.5185881178. The cubic root of 80595840 is about 431.9540417501.

The spelling of 80595840 in words is "eighty million, five hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 3229 4160 4992 6240 6458 8320 9687 12480 12916 16145 19374 24960 25832 32290 38748 41977 48435 51664 64580 77496 83954 96870 103328 125931 129160 154992 167908 193740 206656 209885 251862 258320 309984 335816 387480 413312 419770 503724 516640 619968 629655 671632 774960 839540 1007448 1033280 1239936 1259310 1343264 1549920 1679080 2014896 2066560 2518620 2686528 3099840 3358160 4029792 5037240 5373056 6199680 6716320 8059584 10074480 13432640 16119168 20148960 26865280 40297920 80595840