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486145020 = 2235192318541
BaseRepresentation
bin11100111110011…
…111101111111100
31020212202201121010
4130332133233330
51443423120040
6120123435220
715022110264
oct3476375774
91225681533
10486145020
1122a463a49
12116985b10
137994399a
14487ca7a4
152ca2ce80
hex1cf9fbfc

486145020 has 96 divisors (see below), whose sum is σ = 1495226880. Its totient is φ = 117469440.

The previous prime is 486145019. The next prime is 486145021. The reversal of 486145020 is 20541684.

It is an interprime number because it is at equal distance from previous prime (486145019) and next prime (486145021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486145021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16950 + ... + 35490.

It is an arithmetic number, because the mean of its divisors is an integer number (15575280).

Almost surely, 2486145020 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 486145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747613440).

486145020 is an abundant number, since it is smaller than the sum of its proper divisors (1009081860).

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

486145020 is a wasteful number, since it uses less digits than its factorization.

486145020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18595 (or 18593 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 486145020 is about 22048.6965601144. The cubic root of 486145020 is about 786.3006121146.

The spelling of 486145020 in words is "four hundred eighty-six million, one hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 18541 26220 37082 55623 74164 92705 111246 185410 222492 278115 352279 370820 426443 556230 704558 852886 1056837 1112460 1279329 1409116 1705772 1761395 2113674 2132215 2558658 3522790 4227348 4264430 5117316 5284185 6396645 7045580 8102417 8528860 10568370 12793290 16204834 21136740 24307251 25586580 32409668 40512085 48614502 81024170 97229004 121536255 162048340 243072510 486145020