Search a number
-
+
2120972136 = 2333112722447
BaseRepresentation
bin111111001101011…
…0111011101101000
312110210222112210120
41332122313131220
513320432102021
6550243443240
7103362652143
oct17632673550
95423875716
102120972136
11999262838
124b2386520
1327a5518ca
1416198905a
15c630b2c6
hex7e6b7768

2120972136 has 64 divisors (see below), whose sum is σ = 5516820480. Its totient is φ = 678767040.

The previous prime is 2120972131. The next prime is 2120972219. The reversal of 2120972136 is 6312790212.

It is a junction number, because it is equal to n+sod(n) for n = 2120972097 and 2120972106.

It is not an unprimeable number, because it can be changed into a prime (2120972131) 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, 83265 + ... + 105711.

It is an arithmetic number, because the mean of its divisors is an integer number (86200320).

Almost surely, 22120972136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120972136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758410240).

2120972136 is an abundant number, since it is smaller than the sum of its proper divisors (3395848344).

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

2120972136 is a wasteful number, since it uses less digits than its factorization.

2120972136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22614 (or 22610 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2120972136 is about 46054.0132453188. The cubic root of 2120972136 is about 1284.8279856752.

The spelling of 2120972136 in words is "two billion, one hundred twenty million, nine hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 186 248 254 372 381 508 744 762 1016 1524 3048 3937 7874 11811 15748 22447 23622 31496 44894 47244 67341 89788 94488 134682 179576 269364 538728 695857 1391714 2087571 2783428 2850769 4175142 5566856 5701538 8350284 8552307 11403076 16700568 17104614 22806152 34209228 68418456 88373839 176747678 265121517 353495356 530243034 706990712 1060486068 2120972136