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1208401920 = 21432511149
BaseRepresentation
bin100100000000110…
…1100000000000000
310010012211011210200
41020001230000000
54433322330140
6315524125200
741642150445
oct11001540000
93105734720
101208401920
11570125280
12298836800
1316347682b
14b66b99cc
157114a030
hex4806c000

1208401920 has 360 divisors, whose sum is σ = 4600486800. Its totient is φ = 290979840.

The previous prime is 1208401889. The next prime is 1208401949. The reversal of 1208401920 is 291048021.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8110006 + ... + 8110154.

It is an arithmetic number, because the mean of its divisors is an integer number (12779130).

Almost surely, 21208401920 is an apocalyptic number.

1208401920 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 1208401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300243400).

1208401920 is an abundant number, since it is smaller than the sum of its proper divisors (3392084880).

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

1208401920 is a wasteful number, since it uses less digits than its factorization.

1208401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1208401920 is about 34762.0758873805. The cubic root of 1208401920 is about 1065.1329067750.

Adding to 1208401920 its reverse (291048021), we get a palindrome (1499449941).

It can be divided in two parts, 120840 and 1920, that added together give a triangular number (122760 = T495).

The spelling of 1208401920 in words is "one billion, two hundred eight million, four hundred one thousand, nine hundred twenty".