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2124272430 = 232577147491
BaseRepresentation
bin111111010011101…
…1101001100101110
312111001012012221200
41332213131030232
513322303204210
6550442310330
7103433006040
oct17647351456
95431165850
102124272430
119a0107355
124b34b83a6
1327b138b47
141621a7a90
15c675e0c0
hex7e9dd32e

2124272430 has 96 divisors (see below), whose sum is σ = 6401161728. Its totient is φ = 478699200.

The previous prime is 2124272419. The next prime is 2124272461. The reversal of 2124272430 is 342724212.

2124272430 is a `hidden beast` number, since 212 + 427 + 24 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2124272394 and 2124272403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20985 + ... + 68475.

It is an arithmetic number, because the mean of its divisors is an integer number (66678768).

Almost surely, 22124272430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124272430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200580864).

2124272430 is an abundant number, since it is smaller than the sum of its proper divisors (4276889298).

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

2124272430 is a wasteful number, since it uses less digits than its factorization.

2124272430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47582 (or 47579 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2124272430 is about 46089.8300061955. The cubic root of 2124272430 is about 1285.4940501607.

Adding to 2124272430 its reverse (342724212), we get a palindrome (2466996642).

The spelling of 2124272430 in words is "two billion, one hundred twenty-four million, two hundred seventy-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2982 3195 4473 4970 6390 7455 8946 14910 22365 44730 47491 94982 142473 237455 284946 332437 427419 474910 664874 712365 854838 997311 1424730 1662185 1994622 2137095 2991933 3324370 3371861 4274190 4986555 5983866 6743722 9973110 10115583 14959665 16859305 20231166 23603027 29919330 30346749 33718610 47206054 50577915 60693498 70809081 101155830 118015135 141618162 151733745 212427243 236030270 303467490 354045405 424854486 708090810 1062136215 2124272430