Search a number
-
+
1003000140 = 2232520272749
BaseRepresentation
bin111011110010001…
…001000101001100
32120220022200112100
4323302021011030
54023232001030
6243305435100
733566234442
oct7362110514
92526280470
101003000140
1147519293a
1223ba9ba90
1312ca4a90c
14972ccb92
155d0c5360
hex3bc8914c

1003000140 has 72 divisors (see below), whose sum is σ = 3045042000. Its totient is φ = 267237504.

The previous prime is 1003000129. The next prime is 1003000151. The reversal of 1003000140 is 410003001.

It is an interprime number because it is at equal distance from previous prime (1003000129) and next prime (1003000151).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 363486 + ... + 366234.

It is an arithmetic number, because the mean of its divisors is an integer number (42292250).

Almost surely, 21003000140 is an apocalyptic number.

1003000140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003000140 is an abundant number, since it is smaller than the sum of its proper divisors (2042041860).

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

1003000140 is a wasteful number, since it uses less digits than its factorization.

1003000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003000140 is about 31670.1774545076. The cubic root of 1003000140 is about 1000.9990482369. Note that the first 3 decimals are identical.

Adding to 1003000140 its reverse (410003001), we get a palindrome (1413003141).

The spelling of 1003000140 in words is "one billion, three million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2027 2749 4054 5498 6081 8108 8247 10135 10996 12162 13745 16494 18243 20270 24324 24741 27490 30405 32988 36486 40540 41235 49482 54980 60810 72972 82470 91215 98964 121620 123705 164940 182430 247410 364860 494820 5572223 11144446 16716669 22288892 27861115 33433338 50150007 55722230 66866676 83583345 100300014 111444460 167166690 200600028 250750035 334333380 501500070 1003000140