Search a number
-
+
2137533330 = 235617571543
BaseRepresentation
bin111111101101000…
…0010101110010010
312111222010221111010
41333122002232102
513334202031310
6552034431350
7103653506412
oct17732025622
95458127433
102137533330
119a7644479
124b7a32556
13280acca2a
14163c5a642
15c79cd320
hex7f682b92

2137533330 has 64 divisors (see below), whose sum is σ = 5224451328. Its totient is φ = 559560960.

The previous prime is 2137533187. The next prime is 2137533347. The reversal of 2137533330 is 333357312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1384539 + ... + 1386081.

It is an arithmetic number, because the mean of its divisors is an integer number (81632052).

Almost surely, 22137533330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137533330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612225664).

2137533330 is an abundant number, since it is smaller than the sum of its proper divisors (3086917998).

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

2137533330 is a wasteful number, since it uses less digits than its factorization.

2137533330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371.

The product of its (nonzero) digits is 17010, while the sum is 30.

The square root of 2137533330 is about 46233.4654768599. The cubic root of 2137533330 is about 1288.1634282196.

The spelling of 2137533330 in words is "two billion, one hundred thirty-seven million, five hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 757 915 1514 1543 1830 2271 3086 3785 4542 4629 7570 7715 9258 11355 15430 22710 23145 46177 46290 92354 94123 138531 188246 230885 277062 282369 461770 470615 564738 692655 941230 1168051 1385310 1411845 2336102 2823690 3504153 5840255 7008306 11680510 17520765 35041530 71251111 142502222 213753333 356255555 427506666 712511110 1068766665 2137533330