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2130602144 = 251161671481
BaseRepresentation
bin111111011111110…
…0110100010100000
312111111002210200112
41332333212202200
513330413232034
6551230110452
7103540551026
oct17677464240
95444083615
102130602144
119a373aa20
124b564b428
1327c543c38
14162d74716
15c70ae7ce
hex7efe68a0

2130602144 has 96 divisors (see below), whose sum is σ = 4723572672. Its totient is φ = 937728000.

The previous prime is 2130602137. The next prime is 2130602213. The reversal of 2130602144 is 4412060312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437884 + ... + 1439364.

It is an arithmetic number, because the mean of its divisors is an integer number (49203882).

Almost surely, 22130602144 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 2130602144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361786336).

2130602144 is an abundant number, since it is smaller than the sum of its proper divisors (2592970528).

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

2130602144 is a wasteful number, since it uses less digits than its factorization.

2130602144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2130602144 is about 46158.4460743643. The cubic root of 2130602144 is about 1286.7695835540.

Adding to 2130602144 its reverse (4412060312), we get a palindrome (6542662456).

The spelling of 2130602144 in words is "two billion, one hundred thirty million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 67 88 122 134 176 244 268 352 488 536 671 737 976 1072 1342 1474 1481 1952 2144 2684 2948 2962 4087 5368 5896 5924 8174 10736 11792 11848 16291 16348 21472 23584 23696 32582 32696 44957 47392 65164 65392 89914 90341 99227 130328 130784 179828 180682 198454 260656 359656 361364 396908 521312 719312 722728 793816 993751 1091497 1438624 1445456 1587632 1987502 2182994 2890912 3175264 3975004 4365988 6052847 7950008 8731976 12105694 15900016 17463952 24211388 31800032 34927904 48422776 66581317 96845552 133162634 193691104 266325268 532650536 1065301072 2130602144