Search a number
-
+
1051061620 = 225715747819
BaseRepresentation
bin111110101001011…
…110110101110100
32201020202110111011
4332221132311310
54123032432440
6252143522004
735021606410
oct7651366564
92636673434
101051061620
1149a32a174
12253bb9304
131399a786b
149d83dd40
156241a9ea
hex3ea5ed74

1051061620 has 48 divisors (see below), whose sum is σ = 2538668160. Its totient is φ = 358061184.

The previous prime is 1051061597. The next prime is 1051061633. The reversal of 1051061620 is 261601501.

It is a super-2 number, since 2×10510616202 = 2209461058074048800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051061591 and 1051061600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930 + ... + 45889.

It is an arithmetic number, because the mean of its divisors is an integer number (52888920).

Almost surely, 21051061620 is an apocalyptic number.

1051061620 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 1051061620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269334080).

1051061620 is an abundant number, since it is smaller than the sum of its proper divisors (1487606540).

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

1051061620 is a wasteful number, since it uses less digits than its factorization.

1051061620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47992 (or 47990 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1051061620 is about 32420.0805057606. The cubic root of 1051061620 is about 1016.7387895921.

The spelling of 1051061620 in words is "one billion, fifty-one million, sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3140 4396 5495 10990 21980 47819 95638 191276 239095 334733 478190 669466 956380 1338932 1673665 3347330 6694660 7507583 15015166 30030332 37537915 52553081 75075830 105106162 150151660 210212324 262765405 525530810 1051061620