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1540421532 = 2232136153959
BaseRepresentation
bin101101111010000…
…1111011110011100
310222100120112002100
41123310033132130
511123321442112
6412504325100
753113236606
oct13364173634
93870515070
101540421532
11720589551
1236ba73790
131b71a5940
14108826176
15903812dc
hex5bd0f79c

1540421532 has 72 divisors (see below), whose sum is σ = 4262192480. Its totient is φ = 466197120.

The previous prime is 1540421513. The next prime is 1540421539. The reversal of 1540421532 is 2351240451.

1540421532 is a `hidden beast` number, since 15 + 404 + 215 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1540421496 and 1540421505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540421539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569 + ... + 55527.

Almost surely, 21540421532 is an apocalyptic number.

1540421532 is a gapful number since it is divisible by the number (12) 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 1540421532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131096240).

1540421532 is an abundant number, since it is smaller than the sum of its proper divisors (2721770948).

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

1540421532 is a wasteful number, since it uses less digits than its factorization.

1540421532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54043 (or 54038 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1540421532 is about 39248.2041882173. The cubic root of 1540421532 is about 1154.9057054633.

Adding to 1540421532 its reverse (2351240451), we get a palindrome (3891661983).

The spelling of 1540421532 in words is "one billion, five hundred forty million, four hundred twenty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 9516 14274 28548 53959 107918 161877 215836 323754 485631 647508 701467 971262 1402934 1942524 2104401 2805868 3291499 4208802 6313203 6582998 8417604 9874497 12626406 13165996 19748994 25252812 29623491 39497988 42789487 59246982 85578974 118493964 128368461 171157948 256736922 385105383 513473844 770210766 1540421532