Search a number
-
+
1000737980 = 22511171914083
BaseRepresentation
bin111011101001100…
…000110010111100
32120202001202102122
4323221200302330
54022142103410
6243145142112
733541063304
oct7351406274
92522052378
101000737980
11473988290
1223b18a938
1312c438068
1496ca0604
155ccc9e55
hex3ba60cbc

1000737980 has 96 divisors (see below), whose sum is σ = 2555400960. Its totient is φ = 324449280.

The previous prime is 1000737979. The next prime is 1000738007. The reversal of 1000737980 is 897370001.

It is a super-2 number, since 2×10007379802 = 2002953009228960800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000737980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64019 + ... + 78101.

It is an arithmetic number, because the mean of its divisors is an integer number (26618760).

Almost surely, 21000737980 is an apocalyptic number.

1000737980 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 1000737980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277700480).

1000737980 is an abundant number, since it is smaller than the sum of its proper divisors (1554662980).

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

1000737980 is a wasteful number, since it uses less digits than its factorization.

1000737980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14137 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 1000737980 is about 31634.4429380383. The cubic root of 1000737980 is about 1000.2459328454.

The spelling of 1000737980 in words is "one billion, seven hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 6460 7106 14083 14212 17765 28166 35530 56332 70415 71060 140830 154913 239411 267577 281660 309826 478822 535154 619652 774565 957644 1070308 1197055 1337885 1549130 2394110 2633521 2675770 2943347 3098260 4548809 4788220 5267042 5351540 5886694 9097618 10534084 11773388 13167605 14716735 18195236 22744045 26335210 29433470 45488090 50036899 52670420 58866940 90976180 100073798 200147596 250184495 500368990 1000737980