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300268920 = 233571791997
BaseRepresentation
bin10001111001011…
…011110101111000
3202221000020112010
4101321123311320
51103332101140
645443445520
710304146410
oct2171336570
9687006463
10300268920
11144548536
12846868a0
134a293323
142bc43640
151b563880
hex11e5bd78

300268920 has 128 divisors (see below), whose sum is σ = 1035763200. Its totient is φ = 68215296.

The previous prime is 300268919. The next prime is 300268921. The reversal of 300268920 is 29862003.

It is an interprime number because it is at equal distance from previous prime (300268919) and next prime (300268921).

It is a super-2 number, since 2×3002689202 = 180322848635932800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300268921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149362 + ... + 151358.

It is an arithmetic number, because the mean of its divisors is an integer number (8091900).

Almost surely, 2300268920 is an apocalyptic number.

300268920 is a gapful number since it is divisible by the number (30) 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 300268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517881600).

300268920 is an abundant number, since it is smaller than the sum of its proper divisors (735494280).

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

300268920 is a wasteful number, since it uses less digits than its factorization.

300268920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 300268920 is about 17328.2693884877. The cubic root of 300268920 is about 669.6329169095.

The spelling of 300268920 in words is "three hundred million, two hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 179 210 280 358 420 537 716 840 895 1074 1253 1432 1790 1997 2148 2506 2685 3580 3759 3994 4296 5012 5370 5991 6265 7160 7518 7988 9985 10024 10740 11982 12530 13979 15036 15976 18795 19970 21480 23964 25060 27958 29955 30072 37590 39940 41937 47928 50120 55916 59910 69895 75180 79880 83874 111832 119820 139790 150360 167748 209685 239640 279580 335496 357463 419370 559160 714926 838740 1072389 1429852 1677480 1787315 2144778 2502241 2859704 3574630 4289556 5004482 5361945 7149260 7506723 8579112 10008964 10723890 12511205 14298520 15013446 20017928 21447780 25022410 30026892 37533615 42895560 50044820 60053784 75067230 100089640 150134460 300268920