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1531140120 = 233254253167
BaseRepresentation
bin101101101000011…
…0101100000011000
310221201002222101100
41123100311200120
511113432440440
6411533351400
752641322236
oct13320654030
93851088340
101531140120
1171631a264
12368938560
131b52a6193
141074cb956
158e64b230
hex5b435818

1531140120 has 48 divisors (see below), whose sum is σ = 4976206560. Its totient is φ = 408303936.

The previous prime is 1531140049. The next prime is 1531140157. The reversal of 1531140120 is 210411351.

1531140120 is a `hidden beast` number, since 1 + 531 + 14 + 0 + 120 = 666.

It is a super-2 number, since 2×15311401202 = 4688780134147228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1531140093 and 1531140102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2126224 + ... + 2126943.

It is an arithmetic number, because the mean of its divisors is an integer number (103670970).

Almost surely, 21531140120 is an apocalyptic number.

1531140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1531140120 is an abundant number, since it is smaller than the sum of its proper divisors (3445066440).

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

1531140120 is a wasteful number, since it uses less digits than its factorization.

1531140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253184 (or 4253177 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1531140120 is about 39129.7855859191. The cubic root of 1531140120 is about 1152.5815025734.

Adding to 1531140120 its reverse (210411351), we get a palindrome (1741551471).

The spelling of 1531140120 in words is "one billion, five hundred thirty-one million, one hundred forty thousand, one hundred twenty".

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 4253167 8506334 12759501 17012668 21265835 25519002 34025336 38278503 42531670 51038004 63797505 76557006 85063340 102076008 127595010 153114012 170126680 191392515 255190020 306228024 382785030 510380040 765570060 1531140120