Search a number
-
+
10432001340 = 223456439507
BaseRepresentation
bin10011011011100101…
…11011010100111100
3222221000122120120000
421231302323110330
5132331043020330
64443053554300
7516341356035
oct115562732474
928830576500
1010432001340
114473658012
1220317a5990
13ca3354977
1470d697a8c
15410c93560
hex26dcbb53c

10432001340 has 60 divisors (see below), whose sum is σ = 32725579656. Its totient is φ = 2781866592.

The previous prime is 10432001317. The next prime is 10432001341. The reversal of 10432001340 is 4310023401.

10432001340 is a `hidden beast` number, since 1 + 0 + 4 + 320 + 0 + 1 + 340 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432001341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3218134 + ... + 3221373.

Almost surely, 210432001340 is an apocalyptic number.

10432001340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432001340 is an abundant number, since it is smaller than the sum of its proper divisors (22293578316).

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

10432001340 is a wasteful number, since it uses less digits than its factorization.

10432001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439528 (or 6439517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10432001340 its reverse (4310023401), we get a palindrome (14742024741).

The spelling of 10432001340 in words is "ten billion, four hundred thirty-two million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6439507 12879014 19318521 25758028 32197535 38637042 57955563 64395070 77274084 96592605 115911126 128790140 173866689 193185210 231822252 289777815 347733378 386370420 521600067 579555630 695466756 869333445 1043200134 1159111260 1738666890 2086400268 2608000335 3477333780 5216000670 10432001340