Search a number
-
+
2104142328 = 2332291007731
BaseRepresentation
bin111110101101010…
…1010100111111000
312102122022111122100
41331122222213320
513302130023303
6544443023400
7103066625511
oct17532524770
95378274570
102104142328
1198a808302
124a880ab60
13276c0b442
1415d647a08
15c4ad48a3
hex7d6aa9f8

2104142328 has 48 divisors (see below), whose sum is σ = 5895232200. Its totient is φ = 677194560.

The previous prime is 2104142323. The next prime is 2104142353. The reversal of 2104142328 is 8232414012.

2104142328 is a `hidden beast` number, since 2 + 10 + 414 + 232 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104142323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 501778 + ... + 505953.

Almost surely, 22104142328 is an apocalyptic number.

It is an amenable number.

2104142328 is an abundant number, since it is smaller than the sum of its proper divisors (3791089872).

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

2104142328 is a wasteful number, since it uses less digits than its factorization.

2104142328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007772 (or 1007765 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2104142328 is about 45870.9311874089. The cubic root of 2104142328 is about 1281.4206086259.

The spelling of 2104142328 in words is "two billion, one hundred four million, one hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 1007731 2015462 3023193 4030924 6046386 8061848 9069579 12092772 18139158 24185544 29224199 36278316 58448398 72556632 87672597 116896796 175345194 233793592 263017791 350690388 526035582 701380776 1052071164 2104142328