Search a number
-
+
140631040 = 2105112227
BaseRepresentation
bin10000110000111…
…01110000000000
3100210121210112001
420120131300000
5242000143130
621542113344
73325226014
oct1030356000
9323553461
10140631040
1172423200
123b11b854
132319b644
141496a544
15c52d6ca
hex861dc00

140631040 has 132 divisors (see below), whose sum is σ = 372439368. Its totient is φ = 50913280.

The previous prime is 140631031. The next prime is 140631041. The reversal of 140631040 is 40136041.

It is a happy number.

It is a super-2 number, since 2×1406310402 = 39554178822963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140630999 and 140631017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140631041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619407 + ... + 619633.

Almost surely, 2140631040 is an apocalyptic number.

140631040 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 140631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186219684).

140631040 is an abundant number, since it is smaller than the sum of its proper divisors (231808328).

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

140631040 is a wasteful number, since it uses less digits than its factorization.

140631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 140631040 is about 11858.7958916578. The cubic root of 140631040 is about 520.0284008157.

Adding to 140631040 its reverse (40136041), we get a palindrome (180767081).

The spelling of 140631040 in words is "one hundred forty million, six hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 227 242 256 320 352 440 454 484 512 605 640 704 880 908 968 1024 1135 1210 1280 1408 1760 1816 1936 2270 2420 2497 2560 2816 3520 3632 3872 4540 4840 4994 5120 5632 7040 7264 7744 9080 9680 9988 11264 12485 14080 14528 15488 18160 19360 19976 24970 27467 28160 29056 30976 36320 38720 39952 49940 54934 56320 58112 61952 72640 77440 79904 99880 109868 116224 123904 137335 145280 154880 159808 199760 219736 232448 274670 290560 309760 319616 399520 439472 549340 581120 619520 639232 799040 878944 1098680 1162240 1278464 1598080 1757888 2197360 2556928 3196160 3515776 4394720 6392320 7031552 8789440 12784640 14063104 17578880 28126208 35157760 70315520 140631040