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30014640 = 2432541687
BaseRepresentation
bin111001001111…
…1110010110000
32002110220100100
41302133302300
530140432030
62551152400
7513056145
oct162376260
962426310
1030014640
1115a40497
12a075700
1362ab856
143db43cc
15297d360
hex1c9fcb0

30014640 has 60 divisors (see below), whose sum is σ = 100801584. Its totient is φ = 8003712.

The previous prime is 30014617. The next prime is 30014651. The reversal of 30014640 is 4641003.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×300146402 = 1801757228659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20124 + ... + 21563.

Almost surely, 230014640 is an apocalyptic number.

30014640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30014640 is an abundant number, since it is smaller than the sum of its proper divisors (70786944).

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

30014640 is a wasteful number, since it uses less digits than its factorization.

30014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41706 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30014640 is about 5478.5618550857. The cubic root of 30014640 is about 310.7737866912.

Adding to 30014640 its reverse (4641003), we get a palindrome (34655643).

The spelling of 30014640 in words is "thirty million, fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 41687 83374 125061 166748 208435 250122 333496 375183 416870 500244 625305 666992 750366 833740 1000488 1250610 1500732 1667480 1875915 2000976 2501220 3001464 3334960 3751830 5002440 6002928 7503660 10004880 15007320 30014640