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2130034632 = 2331121136491
BaseRepresentation
bin111111011110101…
…1011111111001000
312111110000222012120
41332331123333020
513330242102012
6551210011240
7103532665335
oct17675337710
95443028176
102130034632
119a3392600
124b5416b20
1327c3a582b
14162c6798c
15c6eeb58c
hex7ef5bfc8

2130034632 has 96 divisors (see below), whose sum is σ = 5905902240. Its totient is φ = 639654400.

The previous prime is 2130034619. The next prime is 2130034651. The reversal of 2130034632 is 2364300312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324907 + ... + 331397.

It is an arithmetic number, because the mean of its divisors is an integer number (61519815).

Almost surely, 22130034632 is an apocalyptic number.

2130034632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130034632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952951120).

2130034632 is an abundant number, since it is smaller than the sum of its proper divisors (3775867608).

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

2130034632 is a wasteful number, since it uses less digits than its factorization.

2130034632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2130034632 is about 46152.2982309657. The cubic root of 2130034632 is about 1286.6553244576.

Adding to 2130034632 its reverse (2364300312), we get a palindrome (4494334944).

The spelling of 2130034632 in words is "two billion, one hundred thirty million, thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 121 132 226 242 264 339 363 452 484 678 726 904 968 1243 1356 1452 2486 2712 2904 3729 4972 6491 7458 9944 12982 13673 14916 19473 25964 27346 29832 38946 41019 51928 54692 71401 77892 82038 109384 142802 155784 164076 214203 285604 328152 428406 571208 733483 785411 856812 1466966 1570822 1713624 2200449 2356233 2933932 3141644 4400898 4712466 5867864 6283288 8068313 8801796 9424932 16136626 17603592 18849864 24204939 32273252 48409878 64546504 88751443 96819756 177502886 193639512 266254329 355005772 532508658 710011544 1065017316 2130034632