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2130837732 = 2233174128307
BaseRepresentation
bin111111100000010…
…0000000011100100
312111111112202212000
41333000200003210
513330443301412
6551235125300
7103542551622
oct17700400344
95444482760
102130837732
119a3890a21
124b5743830
1327c5c723a
14162dd6512
15c71094dc
hex7f0200e4

2130837732 has 96 divisors (see below), whose sum is σ = 5992237440. Its totient is φ = 652170240.

The previous prime is 2130837689. The next prime is 2130837757. The reversal of 2130837732 is 2377380312.

It is a super-2 number, since 2×21308377322 = 9080938880229807648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61123 + ... + 89429.

It is an arithmetic number, because the mean of its divisors is an integer number (62419140).

Almost surely, 22130837732 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 2130837732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996118720).

2130837732 is an abundant number, since it is smaller than the sum of its proper divisors (3861399708).

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

2130837732 is a wasteful number, since it uses less digits than its factorization.

2130837732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28378 (or 28370 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2130837732 is about 46160.9979528173. The cubic root of 2130837732 is about 1286.8170093174.

The spelling of 2130837732 in words is "two billion, one hundred thirty million, eight hundred thirty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 153 164 204 246 306 369 459 492 612 697 738 918 1107 1394 1476 1836 2091 2214 2788 4182 4428 6273 8364 12546 18819 25092 28307 37638 56614 75276 84921 113228 169842 254763 339684 481219 509526 764289 962438 1019052 1160587 1443657 1528578 1924876 2321174 2887314 3057156 3481761 4330971 4642348 5774628 6963522 8661942 10445283 12992913 13927044 17323884 19729979 20890566 25985826 31335849 39459958 41781132 51971652 59189937 62671698 78919916 118379874 125343396 177569811 236759748 355139622 532709433 710279244 1065418866 2130837732