Search a number
-
+
1409264140 = 225376412971
BaseRepresentation
bin101001111111111…
…1010101000001100
310122012210000222011
41103333322220030
510341232423030
6351501231004
746631355544
oct12377725014
93565700864
101409264140
11663547009
12333b62464
13195c7340b
14d5244324
1583ac4b2a
hex53ffaa0c

1409264140 has 48 divisors (see below), whose sum is σ = 3045206304. Its totient is φ = 547430400.

The previous prime is 1409264137. The next prime is 1409264141. The reversal of 1409264140 is 414629041.

It is not an unprimeable number, because it can be changed into a prime (1409264141) 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, 472855 + ... + 475825.

It is an arithmetic number, because the mean of its divisors is an integer number (63441798).

Almost surely, 21409264140 is an apocalyptic number.

1409264140 is a gapful number since it is divisible by the number (10) 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 1409264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522603152).

1409264140 is an abundant number, since it is smaller than the sum of its proper divisors (1635942164).

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

1409264140 is a wasteful number, since it uses less digits than its factorization.

1409264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1409264140 is about 37540.1670214718. The cubic root of 1409264140 is about 1121.1510646905.

The spelling of 1409264140 in words is "one billion, four hundred nine million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 641 740 1282 2564 2971 3205 5942 6410 11884 12820 14855 23717 29710 47434 59420 94868 109927 118585 219854 237170 439708 474340 549635 1099270 1904411 2198540 3808822 7617644 9522055 19044110 38088220 70463207 140926414 281852828 352316035 704632070 1409264140