Search a number
-
+
2104020432 = 243229175009
BaseRepresentation
bin111110101101000…
…1100110111010000
312102122002022102200
41331122030313100
513302112123212
6544440243200
7103065610233
oct17532146720
95378068380
102104020432
1198a734768
124a8770500
13276b97b07
1415d61541a
15c4aad6dc
hex7d68cdd0

2104020432 has 60 divisors (see below), whose sum is σ = 5891529540. Its totient is φ = 700959744.

The previous prime is 2104020409. The next prime is 2104020439. The reversal of 2104020432 is 2340204012.

2104020432 is a `hidden beast` number, since 210 + 4 + 0 + 20 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1745902656 + 358117776 = 41784^2 + 18924^2 .

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 (2104020439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417544 + ... + 422552.

It is an arithmetic number, because the mean of its divisors is an integer number (98192159).

Almost surely, 22104020432 is an apocalyptic number.

It is an amenable number.

2104020432 is an abundant number, since it is smaller than the sum of its proper divisors (3787509108).

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

2104020432 is a wasteful number, since it uses less digits than its factorization.

2104020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2104020432 is about 45869.6024835620. The cubic root of 2104020432 is about 1281.3958633000.

Adding to 2104020432 its reverse (2340204012), we get a palindrome (4444224444).

The spelling of 2104020432 in words is "two billion, one hundred four million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2917 5009 5834 8751 10018 11668 15027 17502 20036 23336 26253 30054 35004 40072 45081 46672 52506 60108 70008 80144 90162 105012 120216 140016 180324 210024 240432 360648 420048 721296 14611253 29222506 43833759 58445012 87667518 116890024 131501277 175335036 233780048 263002554 350670072 526005108 701340144 1052010216 2104020432