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30001440 = 253578929
BaseRepresentation
bin111001001110…
…0100100100000
32002110020020110
41302130210200
530140021230
62551011320
7513002520
oct162344440
962406213
1030001440
1115a31587
12a069b40
1362a5841
143dad680
1529794b0
hex1c9c920

30001440 has 96 divisors (see below), whose sum is σ = 108017280. Its totient is φ = 6856704.

The previous prime is 30001427. The next prime is 30001451. The reversal of 30001440 is 4410003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1105 + ... + 7824.

It is an arithmetic number, because the mean of its divisors is an integer number (1125180).

Almost surely, 230001440 is an apocalyptic number.

30001440 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 30001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54008640).

30001440 is an abundant number, since it is smaller than the sum of its proper divisors (78015840).

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

30001440 is a wasteful number, since it uses less digits than its factorization.

30001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30001440 is about 5477.3570268881. The cubic root of 30001440 is about 310.7282220879.

Adding to 30001440 its reverse (4410003), we get a palindrome (34411443).

The spelling of 30001440 in words is "thirty million, one thousand, four hundred 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 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8929 17858 26787 35716 44645 53574 62503 71432 89290 107148 125006 133935 142864 178580 187509 214296 250012 267870 285728 312515 357160 375018 428592 500024 535740 625030 714320 750036 857184 937545 1000048 1071480 1250060 1428640 1500072 1875090 2000096 2142960 2500120 3000144 3750180 4285920 5000240 6000288 7500360 10000480 15000720 30001440