Search a number
-
+
1353791406 = 2311151135841
BaseRepresentation
bin101000010110001…
…0011011110101110
310111100101201200110
41100230103132232
510233032311111
6342200240450
745356015502
oct12054233656
93440351613
101353791406
116351a8580
12319470126
13187620006
14cbb24302
157dcb85a6
hex50b137ae

1353791406 has 32 divisors (see below), whose sum is σ = 2973309696. Its totient is φ = 407520000.

The previous prime is 1353791389. The next prime is 1353791407. The reversal of 1353791406 is 6041973531.

1353791406 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353791407) 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, 57955 + ... + 77886.

It is an arithmetic number, because the mean of its divisors is an integer number (92915928).

Almost surely, 21353791406 is an apocalyptic number.

1353791406 is an abundant number, since it is smaller than the sum of its proper divisors (1619518290).

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

1353791406 is a wasteful number, since it uses less digits than its factorization.

1353791406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136008.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 1353791406 is about 36793.9044679958. The cubic root of 1353791406 is about 1106.2431239382.

The spelling of 1353791406 in words is "one billion, three hundred fifty-three million, seven hundred ninety-one thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 151 302 453 906 1661 3322 4983 9966 135841 271682 407523 815046 1494251 2988502 4482753 8965506 20511991 41023982 61535973 123071946 225631901 451263802 676895703 1353791406