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1430212520 = 2351110132183
BaseRepresentation
bin101010100111111…
…0100111110101000
310200200012022202002
41111033310332220
510412113300040
6353530230132
750304414542
oct12517647650
93620168662
101430212520
11674354920
1233ab85348
1319a3c93c9
14d7d38692
1585861a15
hex553f4fa8

1430212520 has 64 divisors (see below), whose sum is σ = 3545389440. Its totient is φ = 514912000.

The previous prime is 1430212501. The next prime is 1430212573. The reversal of 1430212520 is 252120341.

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 = 1430212492 and 1430212501.

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, 28349 + ... + 60531.

It is an arithmetic number, because the mean of its divisors is an integer number (55396710).

Almost surely, 21430212520 is an apocalyptic number.

1430212520 is a gapful number since it is divisible by the number (10) 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 1430212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772694720).

1430212520 is an abundant number, since it is smaller than the sum of its proper divisors (2115176920).

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

1430212520 is a wasteful number, since it uses less digits than its factorization.

1430212520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32306 (or 32302 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1430212520 is about 37818.1506686935. The cubic root of 1430212520 is about 1126.6789797486.

Adding to 1430212520 its reverse (252120341), we get a palindrome (1682332861).

It can be divided in two parts, 143021 and 2520, that added together give a palindrome (145541).

The spelling of 1430212520 in words is "one billion, four hundred thirty million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 32183 44440 64366 128732 160915 257464 321830 354013 643660 708026 1287320 1416052 1770065 2832104 3250483 3540130 6500966 7080260 13001932 14160520 16252415 26003864 32504830 35755313 65009660 71510626 130019320 143021252 178776565 286042504 357553130 715106260 1430212520