Search a number
-
+
10420542324 = 2233195078237
BaseRepresentation
bin10011011010001110…
…01101101101110100
3222220020002101202000
421231013031231310
5132320124323244
64442004215300
7516142101603
oct115507155564
928806071660
1010420542324
114468140755
12202999a530
13ca0b71c9a
1470bd53a3a
1540ec7d169
hex26d1cdb74

10420542324 has 48 divisors (see below), whose sum is σ = 28438132800. Its totient is φ = 3290696928.

The previous prime is 10420542313. The next prime is 10420542469. The reversal of 10420542324 is 42324502401.

10420542324 is a `hidden beast` number, since 1 + 0 + 420 + 5 + 4 + 232 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2537067 + ... + 2541170.

It is an arithmetic number, because the mean of its divisors is an integer number (592461100).

Almost surely, 210420542324 is an apocalyptic number.

It is an amenable number.

10420542324 is an abundant number, since it is smaller than the sum of its proper divisors (18017590476).

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

10420542324 is a wasteful number, since it uses less digits than its factorization.

10420542324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078269 (or 5078261 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 10420542324 in words is "ten billion, four hundred twenty million, five hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 5078237 10156474 15234711 20312948 30469422 45704133 60938844 91408266 96486503 137112399 182816532 192973006 274224798 289459509 385946012 548449596 578919018 868378527 1157838036 1736757054 2605135581 3473514108 5210271162 10420542324