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1420892772 = 2231337324419
BaseRepresentation
bin101010010110001…
…0001101001100100
310200000122211110020
41110230101221210
510402222032042
6352554355140
750132250345
oct12454215144
93600584406
101420892772
1166a069852
12337a2bab0
131984b5370
14d69d00cc
1584b203ec
hex54b11a64

1420892772 has 48 divisors (see below), whose sum is σ = 3580167360. Its totient is φ = 436007808.

The previous prime is 1420892749. The next prime is 1420892773. The reversal of 1420892772 is 2772980241.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1420892773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45979 + ... + 70397.

It is an arithmetic number, because the mean of its divisors is an integer number (74586820).

Almost surely, 21420892772 is an apocalyptic number.

1420892772 is a gapful number since it is divisible by the number (12) 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 1420892772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790083680).

1420892772 is an abundant number, since it is smaller than the sum of its proper divisors (2159274588).

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

1420892772 is a wasteful number, since it uses less digits than its factorization.

1420892772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24812 (or 24810 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1420892772 is about 37694.7313559866. The cubic root of 1420892772 is about 1124.2263710339.

The spelling of 1420892772 in words is "one billion, four hundred twenty million, eight hundred ninety-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 373 746 1119 1492 2238 4476 4849 9698 14547 19396 24419 29094 48838 58188 73257 97676 146514 293028 317447 634894 952341 1269788 1904682 3809364 9108287 18216574 27324861 36433148 54649722 109299444 118407731 236815462 355223193 473630924 710446386 1420892772