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1235000144 = 247611631109
BaseRepresentation
bin100100110011100…
…1001101101010000
310012001212111201002
41021213021231100
510012130001034
6322314201132
742414220340
oct11147115520
93161774632
101235000144
11584141984
122a57231a8
13168b2a321
14ba040d20
1573650e7e
hex499c9b50

1235000144 has 80 divisors (see below), whose sum is σ = 2799047040. Its totient is φ = 516948480.

The previous prime is 1235000113. The next prime is 1235000149. The reversal of 1235000144 is 4410005321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1235000149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113062 + ... + 1114170.

It is an arithmetic number, because the mean of its divisors is an integer number (34988088).

Almost surely, 21235000144 is an apocalyptic number.

1235000144 is a gapful number since it is divisible by the number (14) 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 1235000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399523520).

1235000144 is an abundant number, since it is smaller than the sum of its proper divisors (1564046896).

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

1235000144 is a wasteful number, since it uses less digits than its factorization.

1235000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1235000144 is about 35142.5688304085. The cubic root of 1235000144 is about 1072.8911660272.

Adding to 1235000144 its reverse (4410005321), we get a palindrome (5645005465).

The spelling of 1235000144 in words is "one billion, two hundred thirty-five million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 163 244 326 427 488 652 854 976 1109 1141 1304 1708 2218 2282 2608 3416 4436 4564 6832 7763 8872 9128 9943 15526 17744 18256 19886 31052 39772 62104 67649 69601 79544 124208 135298 139202 159088 180767 270596 278404 361534 473543 541192 556808 723068 947086 1082384 1113616 1265369 1446136 1894172 2530738 2892272 3788344 5061476 7576688 10122952 11026787 20245904 22053574 44107148 77187509 88214296 154375018 176428592 308750036 617500072 1235000144