Search a number
-
+
2920705128 = 2334111724103
BaseRepresentation
bin1010111000010110…
…0110110001101000
321112112211012020000
42232011212301220
521440200031003
61201452503000
7132243404205
oct25605466150
97475735200
102920705128
111269730aa0
1269617aa60
133771400b3
141d9c84cac
1512162e1a3
hexae166c68

2920705128 has 160 divisors (see below), whose sum is σ = 9449732160. Its totient is φ = 832965120.

The previous prime is 2920705121. The next prime is 2920705147. The reversal of 2920705128 is 8215070292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2920705092 and 2920705101.

It is not an unprimeable number, because it can be changed into a prime (2920705121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109125 + ... + 133227.

It is an arithmetic number, because the mean of its divisors is an integer number (59060826).

Almost surely, 22920705128 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 2920705128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724866080).

2920705128 is an abundant number, since it is smaller than the sum of its proper divisors (6529027032).

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

2920705128 is a wasteful number, since it uses less digits than its factorization.

2920705128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149 (or 24136 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2920705128 is about 54043.5484401237. The cubic root of 2920705128 is about 1429.4289417877.

The spelling of 2920705128 in words is "two billion, nine hundred twenty million, seven hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 198 204 216 264 297 306 324 374 396 408 459 561 594 612 648 748 792 891 918 1122 1188 1224 1377 1496 1683 1782 1836 2244 2376 2754 3366 3564 3672 4488 5049 5508 6732 7128 10098 11016 13464 15147 20196 24103 30294 40392 48206 60588 72309 96412 121176 144618 192824 216927 265133 289236 409751 433854 530266 578472 650781 795399 819502 867708 1060532 1229253 1301562 1590798 1639004 1735416 1952343 2121064 2386197 2458506 2603124 3181596 3278008 3687759 3904686 4507261 4772394 4917012 5206248 6363192 7158591 7375518 7809372 9014522 9544788 9834024 11063277 13521783 14317182 14751036 15618744 18029044 19089576 21475773 22126554 27043566 28634364 29502072 33189831 36058088 40565349 42951546 44253108 54087132 57268728 66379662 81130698 85903092 88506216 108174264 121696047 132759324 162261396 171806184 243392094 265518648 324522792 365088141 486784188 730176282 973568376 1460352564 2920705128