Search a number
-
+
2140776 = 2333111753
BaseRepresentation
bin1000001010101001101000
311000202121000
420022221220
51022001101
6113515000
724124221
oct10125150
94022530
102140776
111232440
12872a60
1359c541
143da248
152c4486
hex20aa68

2140776 has 128 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 599040.

The previous prime is 2140769. The next prime is 2140781. The reversal of 2140776 is 6770412.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40366 + ... + 40418.

It is an arithmetic number, because the mean of its divisors is an integer number (54675).

22140776 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 2140776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2140776 is an abundant number, since it is smaller than the sum of its proper divisors (4857624).

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

2140776 is a wasteful number, since it uses less digits than its factorization.

2140776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2140776 is about 1463.1390911325. The cubic root of 2140776 is about 128.8814486831.

It can be divided in two parts, 2140 and 776, that added together give a square (2916 = 542).

The spelling of 2140776 in words is "two million, one hundred forty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 53 54 66 68 72 88 99 102 106 108 132 136 153 159 187 198 204 212 216 264 297 306 318 374 396 408 424 459 477 561 583 594 612 636 748 792 901 918 954 1122 1166 1188 1224 1272 1431 1496 1683 1749 1802 1836 1908 2244 2332 2376 2703 2862 3366 3498 3604 3672 3816 4488 4664 5049 5247 5406 5724 6732 6996 7208 8109 9911 10098 10494 10812 11448 13464 13992 15741 16218 19822 20196 20988 21624 24327 29733 31482 32436 39644 40392 41976 48654 59466 62964 64872 79288 89199 97308 118932 125928 178398 194616 237864 267597 356796 535194 713592 1070388 2140776