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2130861936 = 243747592287
BaseRepresentation
bin111111100000010…
…0101111101110000
312111111121000001110
41333000211331300
513331000040221
6551235433320
7103543012320
oct17700457560
95444530043
102130861936
119a38a8125
124b5755840
1327c605268
14163001280
15c7111776
hex7f025f70

2130861936 has 160 divisors (see below), whose sum is σ = 6536724480. Its totient is φ = 585508608.

The previous prime is 2130861917. The next prime is 2130861937. The reversal of 2130861936 is 6391680312.

It is a junction number, because it is equal to n+sod(n) for n = 2130861894 and 2130861903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130861937) by changing a digit.

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, 930585 + ... + 932871.

It is an arithmetic number, because the mean of its divisors is an integer number (40854528).

Almost surely, 22130861936 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 2130861936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268362240).

2130861936 is an abundant number, since it is smaller than the sum of its proper divisors (4405862544).

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

2130861936 is a wasteful number, since it uses less digits than its factorization.

2130861936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2130861936 is about 46161.2601214482. The cubic root of 2130861936 is about 1286.8218815797.

The spelling of 2130861936 in words is "two billion, one hundred thirty million, eight hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 59 84 94 112 118 141 168 177 188 236 282 329 336 354 376 413 472 564 658 708 752 826 944 987 1128 1239 1316 1416 1652 1974 2256 2287 2478 2632 2773 2832 3304 3948 4574 4956 5264 5546 6608 6861 7896 8319 9148 9912 11092 13722 15792 16009 16638 18296 19411 19824 22184 27444 32018 33276 36592 38822 44368 48027 54888 58233 64036 66552 77644 96054 107489 109776 116466 128072 133104 134933 155288 192108 214978 232932 256144 269866 310576 322467 384216 404799 429956 465864 539732 644934 752423 768432 809598 859912 931728 944531 1079464 1289868 1504846 1619196 1719824 1889062 2158928 2257269 2579736 2833593 3009692 3238392 3778124 4514538 5159472 5667186 6019384 6341851 6476784 7556248 9029076 11334372 12038768 12683702 15112496 18058152 19025553 22668744 25367404 36116304 38051106 44392957 45337488 50734808 76102212 88785914 101469616 133178871 152204424 177571828 266357742 304408848 355143656 532715484 710287312 1065430968 2130861936