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60012420 = 223513471637
BaseRepresentation
bin1110010011101…
…1011110000100
311011220221120020
43210323132010
5110330344140
65542135140
71326045216
oct344733604
9134827506
1060012420
113096a246
12181214b0
13c582810
147d825b6
1554066d0
hex393b784

60012420 has 96 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 14449152.

The previous prime is 60012419. The next prime is 60012437. The reversal of 60012420 is 2421006.

60012420 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

60012420 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 60012420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35842 + ... + 37478.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 260012420 is an apocalyptic number.

60012420 is a gapful number since it is divisible by the number (60) 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 60012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

60012420 is an abundant number, since it is smaller than the sum of its proper divisors (124911228).

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

60012420 is a wasteful number, since it uses less digits than its factorization.

60012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 60012420 is about 7746.7683584834. The cubic root of 60012420 is about 391.5137748400.

Adding to 60012420 its reverse (2421006), we get a palindrome (62433426).

The spelling of 60012420 in words is "sixty million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1637 1833 2444 2820 3055 3274 3666 4911 6110 6548 7332 8185 9165 9822 12220 16370 18330 19644 21281 24555 32740 36660 42562 49110 63843 76939 85124 98220 106405 127686 153878 212810 230817 255372 307756 319215 384695 425620 461634 638430 769390 923268 1000207 1154085 1276860 1538780 2000414 2308170 3000621 4000828 4616340 5001035 6001242 10002070 12002484 15003105 20004140 30006210 60012420