[go: up one dir, main page]

Search a number
-
+
400137480 = 233251111493
BaseRepresentation
bin10111110110011…
…001110100001000
31000212221002102200
4113312121310020
51304413344410
6103412200200
712626053401
oct2766316410
91025832380
10400137480
1119595a236
12b2009060
1364b8c052
143b1dc9a8
15251de3c0
hex17d99d08

400137480 has 48 divisors (see below), whose sum is σ = 1300447980. Its totient is φ = 106703232.

The previous prime is 400137433. The next prime is 400137487. The reversal of 400137480 is 84731004.

It can be written as a sum of positive squares in 2 ways, for example, as 367028964 + 33108516 = 19158^2 + 5754^2 .

It is a super-2 number, since 2×4001374802 = 320220005801500800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400137487) 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, 555387 + ... + 556106.

Almost surely, 2400137480 is an apocalyptic number.

400137480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400137480 is an abundant number, since it is smaller than the sum of its proper divisors (900310500).

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

400137480 is a wasteful number, since it uses less digits than its factorization.

400137480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111510 (or 1111503 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 400137480 is about 20003.4367047265. The cubic root of 400137480 is about 736.8907035007.

Adding to 400137480 its reverse (84731004), we get a palindrome (484868484).

The spelling of 400137480 in words is "four hundred million, one hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1111493 2222986 3334479 4445972 5557465 6668958 8891944 10003437 11114930 13337916 16672395 20006874 22229860 26675832 33344790 40013748 44459720 50017185 66689580 80027496 100034370 133379160 200068740 400137480