Search a number
-
+
1002001120 = 25528322129
BaseRepresentation
bin111011101110010…
…101001011100000
32120211102221010121
4323232111023200
54023003013440
6243232210024
733554604031
oct7356251340
92524387117
101002001120
114746702aa
1223b699914
1312c78ac93
149710ca88
155ce7934a
hex3bb952e0

1002001120 has 48 divisors (see below), whose sum is σ = 2375699760. Its totient is φ = 399366144.

The previous prime is 1002001087. The next prime is 1002001123. The reversal of 1002001120 is 211002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001123) 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, 34216 + ... + 56344.

It is an arithmetic number, because the mean of its divisors is an integer number (49493745).

Almost surely, 21002001120 is an apocalyptic number.

1002001120 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 1002001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187849880).

1002001120 is an abundant number, since it is smaller than the sum of its proper divisors (1373698640).

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

1002001120 is a wasteful number, since it uses less digits than its factorization.

1002001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1002001120 is about 31654.4012737565. The cubic root of 1002001120 is about 1000.6665955516. Note that the first 3 decimals are identical.

Adding to 1002001120 its reverse (211002001), we get a palindrome (1213003121).

The spelling of 1002001120 in words is "one billion, two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 5660 9056 11320 22129 22640 44258 45280 88516 110645 177032 221290 354064 442580 708128 885160 1770320 3540640 6262507 12525014 25050028 31312535 50100056 62625070 100200112 125250140 200400224 250500280 501000560 1002001120