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1431984020 = 225197947701
BaseRepresentation
bin101010101011010…
…0101011110010100
310200210112022210012
41111112211132110
510413041442040
6354032215352
750325443345
oct12526453624
93623468705
101431984020
11675354875
1233b69a558
1319a89982c
14d827a0cc
1585ab1865
hex555a5794

1431984020 has 48 divisors (see below), whose sum is σ = 3205574400. Its totient is φ = 535766400.

The previous prime is 1431984007. The next prime is 1431984041. The reversal of 1431984020 is 204891341.

It is a happy number.

It is a congruent number.

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, 6170 + ... + 53870.

It is an arithmetic number, because the mean of its divisors is an integer number (66782800).

Almost surely, 21431984020 is an apocalyptic number.

1431984020 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 1431984020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602787200).

1431984020 is an abundant number, since it is smaller than the sum of its proper divisors (1773590380).

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

1431984020 is a wasteful number, since it uses less digits than its factorization.

1431984020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47808 (or 47806 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1431984020 is about 37841.5647139491. The cubic root of 1431984020 is about 1127.1439661960.

The spelling of 1431984020 in words is "one billion, four hundred thirty-one million, nine hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 6004 7505 15010 30020 47701 95402 190804 238505 477010 906319 954020 1812638 3625276 3768379 4531595 7536758 9063190 15073516 18126380 18841895 37683790 71599201 75367580 143198402 286396804 357996005 715992010 1431984020