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30424520 = 2357193563
BaseRepresentation
bin111010000001…
…1110111001000
32010020201121002
41310003313020
530242041040
63004034132
7516414140
oct164036710
963221532
1030424520
11161a0435
12a232948
1363c3299
14407d920
152a0ea15
hex1d03dc8

30424520 has 64 divisors (see below), whose sum is σ = 78779520. Its totient is φ = 10358784.

The previous prime is 30424519. The next prime is 30424523. The reversal of 30424520 is 2542403.

30424520 = T1301 + T1302 + ... + T1335.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30424492 and 30424501.

It is not an unprimeable number, because it can be changed into a prime (30424523) 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, 53759 + ... + 54321.

It is an arithmetic number, because the mean of its divisors is an integer number (1230930).

Almost surely, 230424520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39389760).

30424520 is an abundant number, since it is smaller than the sum of its proper divisors (48355000).

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

30424520 is a wasteful number, since it uses less digits than its factorization.

30424520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 30424520 is about 5515.8426373493. The cubic root of 30424520 is about 312.1820381906.

Adding to 30424520 its reverse (2542403), we get a palindrome (32966923).

The spelling of 30424520 in words is "thirty million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 193 280 386 563 772 965 1126 1351 1544 1930 2252 2702 2815 3860 3941 4504 5404 5630 6755 7720 7882 10808 11260 13510 15764 19705 22520 27020 31528 39410 54040 78820 108659 157640 217318 434636 543295 760613 869272 1086590 1521226 2173180 3042452 3803065 4346360 6084904 7606130 15212260 30424520