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1830213456 = 243192006813
BaseRepresentation
bin110110100010110…
…1101011101010000
311201112212110212120
41231011231131100
512222013312311
6501335454240
763232362201
oct15505553520
94645773776
101830213456
1185a120505
12430b27380
1323223b256
141350dd5a8
15aaa25706
hex6d16d750

1830213456 has 40 divisors (see below), whose sum is σ = 4976898720. Its totient is φ = 577961856.

The previous prime is 1830213449. The next prime is 1830213457. The reversal of 1830213456 is 6543120381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830213457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002495 + ... + 1004318.

It is an arithmetic number, because the mean of its divisors is an integer number (124422468).

Almost surely, 21830213456 is an apocalyptic number.

1830213456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1830213456 is an abundant number, since it is smaller than the sum of its proper divisors (3146685264).

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

1830213456 is a wasteful number, since it uses less digits than its factorization.

1830213456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006843 (or 2006837 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1830213456 is about 42780.9940978468. The cubic root of 1830213456 is about 1223.2087564210.

The spelling of 1830213456 in words is "one billion, eight hundred thirty million, two hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2006813 4013626 6020439 8027252 12040878 16054504 24081756 32109008 38129447 48163512 76258894 96327024 114388341 152517788 228776682 305035576 457553364 610071152 915106728 1830213456