Search a number
-
+
1060000900 = 2252714910163
BaseRepresentation
bin111111001011100…
…101010010000100
32201212120121212121
4333023211102010
54132330012100
6253103255324
735160600430
oct7713452204
92655517777
101060000900
114a4385402
12256baa544
1313b7b768a
14a0ac99c0
15630d451a
hex3f2e5484

1060000900 has 72 divisors (see below), whose sum is σ = 2646705600. Its totient is φ = 360954240.

The previous prime is 1060000897. The next prime is 1060000919. The reversal of 1060000900 is 90000601.

1060000900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10600009002 = 2247203816001620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99219 + ... + 109381.

It is an arithmetic number, because the mean of its divisors is an integer number (36759800).

Almost surely, 21060000900 is an apocalyptic number.

1060000900 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 1060000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323352800).

1060000900 is an abundant number, since it is smaller than the sum of its proper divisors (1586704700).

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

1060000900 is a wasteful number, since it uses less digits than its factorization.

1060000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1060000900 is about 32557.6550138366. The cubic root of 1060000900 is about 1019.6131109918.

It can be divided in two parts, 1060000 and 900, that added together give a square (1060900 = 10302).

The spelling of 1060000900 in words is "one billion, sixty million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 596 700 745 1043 1490 2086 2980 3725 4172 5215 7450 10163 10430 14900 20326 20860 26075 40652 50815 52150 71141 101630 104300 142282 203260 254075 284564 355705 508150 711410 1016300 1422820 1514287 1778525 3028574 3557050 6057148 7114100 7571435 10600009 15142870 21200018 30285740 37857175 42400036 53000045 75714350 106000090 151428700 212000180 265000225 530000450 1060000900