Search a number
-
+
1235745040 = 245103914867
BaseRepresentation
bin100100110100111…
…1111100100010000
310012010021100111211
41021221333210100
510012322320130
6322342145504
742423442135
oct11151774420
93163240454
101235745040
115846005a2
122a5a22294
1316902b3aa
14ba19658c
157374ba2a
hex49a7f910

1235745040 has 40 divisors (see below), whose sum is σ = 2876065920. Its totient is φ = 493789056.

The previous prime is 1235745031. The next prime is 1235745053. The reversal of 1235745040 is 405475321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1235744993 and 1235745011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75687 + ... + 90553.

It is an arithmetic number, because the mean of its divisors is an integer number (71901648).

Almost surely, 21235745040 is an apocalyptic number.

1235745040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1235745040 is an abundant number, since it is smaller than the sum of its proper divisors (1640320880).

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

1235745040 is a wasteful number, since it uses less digits than its factorization.

1235745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15919 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 1235745040 is about 35153.1654335708. The cubic root of 1235745040 is about 1073.1068290825.

The spelling of 1235745040 in words is "one billion, two hundred thirty-five million, seven hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1039 2078 4156 5195 8312 10390 14867 16624 20780 29734 41560 59468 74335 83120 118936 148670 237872 297340 594680 1189360 15446813 30893626 61787252 77234065 123574504 154468130 247149008 308936260 617872520 1235745040