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1240153152 = 26372193683
BaseRepresentation
bin100100111101011…
…0011110001000000
310012102120022022020
41021322303301000
510014434400102
6323020441440
742506061600
oct11172636100
93172508266
101240153152
11587041467
122a73a9280
13169c12944
14ba9c2c00
1573d1cbbc
hex49eb3c40

1240153152 has 168 divisors, whose sum is σ = 3842345376. Its totient is φ = 351977472.

The previous prime is 1240153151. The next prime is 1240153177. The reversal of 1240153152 is 2513510421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1240153151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815403 + ... + 1816085.

Almost surely, 21240153152 is an apocalyptic number.

1240153152 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 1240153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921172688).

1240153152 is an abundant number, since it is smaller than the sum of its proper divisors (2602192224).

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

1240153152 is a wasteful number, since it uses less digits than its factorization.

1240153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1240153152 is about 35215.8082684467. The cubic root of 1240153152 is about 1074.3812995098.

Adding to 1240153152 its reverse (2513510421), we get a palindrome (3753663573).

The spelling of 1240153152 in words is "one billion, two hundred forty million, one hundred fifty-three thousand, one hundred fifty-two".