Search a number
-
+
2792430 = 2325192371
BaseRepresentation
bin1010101001101111101110
312020212111100
422221233232
51203324210
6135503530
732510124
oct12515756
95225440
102792430
111637aa3
12b27ba6
1376a034
14529914
153a25c0
hex2a9bee

2792430 has 96 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 665280.

The previous prime is 2792429. The next prime is 2792431. The reversal of 2792430 is 342972.

It is an interprime number because it is at equal distance from previous prime (2792429) and next prime (2792431).

It is a junction number, because it is equal to n+sod(n) for n = 2792394 and 2792403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39295 + ... + 39365.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

22792430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

2792430 is an abundant number, since it is smaller than the sum of its proper divisors (5294610).

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

2792430 is a wasteful number, since it uses less digits than its factorization.

2792430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2792430 is about 1671.0565520053. The cubic root of 2792430 is about 140.8188408306.

The spelling of 2792430 in words is "two million, seven hundred ninety-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 71 90 95 114 115 138 142 171 190 207 213 230 285 342 345 355 414 426 437 570 639 690 710 855 874 1035 1065 1278 1311 1349 1633 1710 2070 2130 2185 2622 2698 3195 3266 3933 4047 4370 4899 6390 6555 6745 7866 8094 8165 9798 12141 13110 13490 14697 16330 19665 20235 24282 24495 29394 31027 39330 40470 48990 60705 62054 73485 93081 121410 146970 155135 186162 279243 310270 465405 558486 930810 1396215 2792430