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30214560 = 2535193313
BaseRepresentation
bin111001101000…
…0100110100000
32002212001120210
41303100212200
530213331220
62555334120
7514551045
oct163204640
962761523
1030214560
1116067712
12a151340
13634b84c
1440271cc
1529bc6e0
hex1cd09a0

30214560 has 96 divisors (see below), whose sum is σ = 100215360. Its totient is φ = 7630848.

The previous prime is 30214543. The next prime is 30214589. The reversal of 30214560 is 6541203.

It is a happy number.

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

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, 7464 + ... + 10776.

It is an arithmetic number, because the mean of its divisors is an integer number (1043910).

Almost surely, 230214560 is an apocalyptic number.

30214560 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 30214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50107680).

30214560 is an abundant number, since it is smaller than the sum of its proper divisors (70000800).

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

30214560 is a wasteful number, since it uses less digits than its factorization.

30214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30214560 is about 5496.7772376184. Note that the first 3 decimals coincide. The cubic root of 30214560 is about 311.4622558264.

Adding to 30214560 its reverse (6541203), we get a palindrome (36755763).

The spelling of 30214560 in words is "thirty million, two hundred fourteen thousand, five hundred sixty".

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 3313 4560 6626 9120 9939 13252 16565 19878 26504 33130 39756 49695 53008 62947 66260 79512 99390 106016 125894 132520 159024 188841 198780 251788 265040 314735 318048 377682 397560 503576 530080 629470 755364 795120 944205 1007152 1258940 1510728 1590240 1888410 2014304 2517880 3021456 3776820 5035760 6042912 7553640 10071520 15107280 30214560