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1240077132 = 2232722322067
BaseRepresentation
bin100100111101010…
…0001001101001100
310012102102110000200
41021322201031030
510014424432012
6323015053500
742505324140
oct11172411514
93172373020
101240077132
11586a9a338
122a7371290
13169bb7168
14ba9a3220
1573d053dc
hex49ea134c

1240077132 has 72 divisors (see below), whose sum is σ = 3598672896. Its totient is φ = 352702944.

The previous prime is 1240077127. The next prime is 1240077133. The reversal of 1240077132 is 2317700421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1240077096 and 1240077105.

It is not an unprimeable number, because it can be changed into a prime (1240077133) 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, 45163 + ... + 67229.

It is an arithmetic number, because the mean of its divisors is an integer number (49981568).

Almost surely, 21240077132 is an apocalyptic number.

1240077132 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 1240077132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799336448).

1240077132 is an abundant number, since it is smaller than the sum of its proper divisors (2358595764).

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

1240077132 is a wasteful number, since it uses less digits than its factorization.

1240077132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22307 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1240077132 is about 35214.7289070923. The cubic root of 1240077132 is about 1074.3593462709.

Adding to 1240077132 its reverse (2317700421), we get a palindrome (3557777553).

The spelling of 1240077132 in words is "one billion, two hundred forty million, seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 669 892 1338 1561 2007 2676 3122 4014 4683 6244 8028 9366 14049 18732 22067 28098 44134 56196 66201 88268 132402 154469 198603 264804 308938 397206 463407 617876 794412 926814 1390221 1853628 2780442 4920941 5560884 9841882 14762823 19683764 29525646 34446587 44288469 59051292 68893174 88576938 103339761 137786348 177153876 206679522 310019283 413359044 620038566 1240077132