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60442020 = 22325409821
BaseRepresentation
bin1110011010010…
…0010110100100
311012201202212100
43212210112210
5110433121040
65555252100
71332514542
oct346442644
9135652770
1060442020
1131132a91
12182aa030
13c6a3212
148054d92
15548db30
hex39a45a4

60442020 has 72 divisors (see below), whose sum is σ = 184012920. Its totient is φ = 16058880.

The previous prime is 60442013. The next prime is 60442027. The reversal of 60442020 is 2024406.

60442020 is a `hidden beast` number, since 604 + 42 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (60442013) and next prime (60442027).

It can be written as a sum of positive squares in 4 ways, for example, as 11329956 + 49112064 = 3366^2 + 7008^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 60441984 and 60442002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60442027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73210 + ... + 74030.

It is an arithmetic number, because the mean of its divisors is an integer number (2555735).

Almost surely, 260442020 is an apocalyptic number.

60442020 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 60442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92006460).

60442020 is an abundant number, since it is smaller than the sum of its proper divisors (123570900).

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

60442020 is a wasteful number, since it uses less digits than its factorization.

60442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 60442020 is about 7774.4466040999. The cubic root of 60442020 is about 392.4457739468.

Adding to 60442020 its reverse (2024406), we get a palindrome (62466426).

It can be divided in two parts, 604 and 42020, that added together give a palindrome (42624).

The spelling of 60442020 in words is "sixty million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 821 1227 1636 1642 2045 2454 2463 3284 3681 4090 4105 4908 4926 6135 7362 7389 8180 8210 9852 12270 12315 14724 14778 16420 18405 24540 24630 29556 36810 36945 49260 73620 73890 147780 335789 671578 1007367 1343156 1678945 2014734 3022101 3357890 4029468 5036835 6044202 6715780 10073670 12088404 15110505 20147340 30221010 60442020