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30159840 = 2535193307
BaseRepresentation
bin111001100001…
…1001111100000
32002202021112010
41303003033200
530210103330
62554232520
7514232364
oct163031740
962667463
1030159840
111602a597
12a125740
13632c979
1440112a4
1529ab3b0
hex1cc33e0

30159840 has 96 divisors (see below), whose sum is σ = 100033920. Its totient is φ = 7617024.

The previous prime is 30159839. The next prime is 30159851. The reversal of 30159840 is 4895103.

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 (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30159798 and 30159807.

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, 7467 + ... + 10773.

It is an arithmetic number, because the mean of its divisors is an integer number (1042020).

Almost surely, 230159840 is an apocalyptic number.

30159840 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 30159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50016960).

30159840 is an abundant number, since it is smaller than the sum of its proper divisors (69874080).

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

30159840 is a wasteful number, since it uses less digits than its factorization.

30159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 30159840 is about 5491.7975199383. The cubic root of 30159840 is about 311.2741179034.

The spelling of 30159840 in words is "thirty million, one hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 3307 4560 6614 9120 9921 13228 16535 19842 26456 33070 39684 49605 52912 62833 66140 79368 99210 105824 125666 132280 158736 188499 198420 251332 264560 314165 317472 376998 396840 502664 529120 628330 753996 793680 942495 1005328 1256660 1507992 1587360 1884990 2010656 2513320 3015984 3769980 5026640 6031968 7539960 10053280 15079920 30159840