Search a number
-
+
1055907216 = 2432713194241
BaseRepresentation
bin111110111011111…
…101110110010000
32201120212122101200
4332323331312100
54130303012331
6252435431200
735111030460
oct7673756620
92646778350
101055907216
114a20397a1
12255755500
1313a9b3290
14a0341ba0
1562a765e6
hex3eefdd90

1055907216 has 240 divisors, whose sum is σ = 3829338240. Its totient is φ = 263761920.

The previous prime is 1055907211. The next prime is 1055907233. The reversal of 1055907216 is 6127095501.

It is a super-2 number, since 2×10559072162 = 2229880097601741312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1055907211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246856 + ... + 251096.

It is an arithmetic number, because the mean of its divisors is an integer number (15955576).

Almost surely, 21055907216 is an apocalyptic number.

1055907216 is a gapful number since it is divisible by the number (16) 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 1055907216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914669120).

1055907216 is an abundant number, since it is smaller than the sum of its proper divisors (2773431024).

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

1055907216 is a wasteful number, since it uses less digits than its factorization.

1055907216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1055907216 is about 32494.7259720712. The cubic root of 1055907216 is about 1018.2988483716.

The spelling of 1055907216 in words is "one billion, fifty-five million, nine hundred seven thousand, two hundred sixteen".