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30287040 = 263574507
BaseRepresentation
bin111001110001…
…0010011000000
32002222202000020
41303202103000
530223141130
63001053440
7515302260
oct163422300
962882006
1030287040
1116107113
12a187280
136375834
1440457a0
1529d3e10
hex1ce24c0

30287040 has 112 divisors (see below), whose sum is σ = 109923072. Its totient is φ = 6921216.

The previous prime is 30287029. The next prime is 30287041. The reversal of 30287040 is 4078203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30287040.

It is not an unprimeable number, because it can be changed into a prime (30287041) 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, 4467 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (981456).

Almost surely, 230287040 is an apocalyptic number.

30287040 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 30287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54961536).

30287040 is an abundant number, since it is smaller than the sum of its proper divisors (79636032).

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

30287040 is a wasteful number, since it uses less digits than its factorization.

30287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30287040 is about 5503.3662425828. The cubic root of 30287040 is about 311.7111066806.

The spelling of 30287040 in words is "thirty million, two hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 4507 6720 9014 13521 18028 22535 27042 31549 36056 45070 54084 63098 67605 72112 90140 94647 108168 126196 135210 144224 157745 180280 189294 216336 252392 270420 288448 315490 360560 378588 432672 473235 504784 540840 630980 721120 757176 865344 946470 1009568 1081680 1261960 1442240 1514352 1892940 2019136 2163360 2523920 3028704 3785880 4326720 5047840 6057408 7571760 10095680 15143520 30287040