Search a number
-
+
1000998945 = 335192913457
BaseRepresentation
bin111011101010100…
…000100000100001
32120202120000102000
4323222200200201
54022223431240
6243154514213
733543231162
oct7352404041
92522500360
101000998945
11474046361
1223b295969
1312c4c9a8b
1496d2b769
155cd2c430
hex3baa0821

1000998945 has 64 divisors (see below), whose sum is σ = 1937952000. Its totient is φ = 488291328.

The previous prime is 1000998941. The next prime is 1000998953. The reversal of 1000998945 is 5498990001.

It is not a de Polignac number, because 1000998945 - 22 = 1000998941 is a prime.

It is a super-2 number, since 2×10009989452 = 2003997775782226050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1000998945.

It is not an unprimeable number, because it can be changed into a prime (1000998941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67657 + ... + 81113.

It is an arithmetic number, because the mean of its divisors is an integer number (30280500).

Almost surely, 21000998945 is an apocalyptic number.

1000998945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000998945 is a deficient number, since it is larger than the sum of its proper divisors (936953055).

1000998945 is a wasteful number, since it uses less digits than its factorization.

1000998945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519 (or 13513 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1000998945 is about 31638.5673664280. The cubic root of 1000998945 is about 1000.3328708514.

The spelling of 1000998945 in words is "one billion, nine hundred ninety-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 19 27 29 45 57 87 95 135 145 171 261 285 435 513 551 783 855 1305 1653 2565 2755 3915 4959 8265 13457 14877 24795 40371 67285 74385 121113 201855 255683 363339 390253 605565 767049 1170759 1278415 1816695 1951265 2301147 3512277 3835245 5853795 6903441 7414807 10536831 11505735 17561385 22244421 34517205 37074035 52684155 66733263 111222105 200199789 333666315 1000998945