[go: up one dir, main page]

Search a number
-
+
299881920 = 26351324029
BaseRepresentation
bin10001110111111…
…101010111000000
3202220021120122210
4101313331113000
51103232210140
645431302120
710300645212
oct2167752700
9686246583
10299881920
111443037a8
128451a940
134a189130
142bb825b2
151b4d8d80
hex11dfd5c0

299881920 has 112 divisors (see below), whose sum is σ = 1025408160. Its totient is φ = 73814016.

The previous prime is 299881909. The next prime is 299881973. The reversal of 299881920 is 29188992.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 299881920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466 + ... + 24494.

It is an arithmetic number, because the mean of its divisors is an integer number (9155430).

Almost surely, 2299881920 is an apocalyptic number.

299881920 is a gapful number since it is divisible by the number (20) 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 299881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512704080).

299881920 is an abundant number, since it is smaller than the sum of its proper divisors (725526240).

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

299881920 is a wasteful number, since it uses less digits than its factorization.

299881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24062 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 299881920 is about 17317.0990642197. The cubic root of 299881920 is about 669.3451089534.

The spelling of 299881920 in words is "two hundred ninety-nine million, eight hundred eighty-one thousand, nine hundred twenty".

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 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 24029 48058 72087 96116 120145 144174 192232 240290 288348 312377 360435 384464 480580 576696 624754 720870 768928 937131 961160 1153392 1249508 1441740 1537856 1561885 1874262 1922320 2306784 2499016 2883480 3123770 3748524 3844640 4613568 4685655 4998032 5766960 6247540 7497048 7689280 9371310 9996064 11533920 12495080 14994096 18742620 19992128 23067840 24990160 29988192 37485240 49980320 59976384 74970480 99960640 149940960 299881920