Search a number
-
+
2733951120 = 243523523947
BaseRepresentation
bin1010001011110100…
…1100100010010000
321001112102002212220
42202331030202100
521044342413440
61131142021040
7124515125655
oct24275144220
97045362786
102733951120
111183275a3a
12643717780
13347542c74
141bd14dc2c
1511003e8d0
hexa2f4c890

2733951120 has 160 divisors (see below), whose sum is σ = 8870003712. Its totient is φ = 695287296.

The previous prime is 2733951091. The next prime is 2733951139. The reversal of 2733951120 is 211593372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2886487 + ... + 2887433.

Almost surely, 22733951120 is an apocalyptic number.

2733951120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2733951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435001856).

2733951120 is an abundant number, since it is smaller than the sum of its proper divisors (6136052592).

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

2733951120 is a wasteful number, since it uses less digits than its factorization.

2733951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 2733951120 is about 52287.1984332685. The cubic root of 2733951120 is about 1398.2889163639.

The spelling of 2733951120 in words is "two billion, seven hundred thirty-three million, nine hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 523 552 690 920 947 1046 1104 1380 1569 1840 1894 2092 2615 2760 2841 3138 3788 4184 4735 5230 5520 5682 6276 7576 7845 8368 9470 10460 11364 12029 12552 14205 15152 15690 18940 20920 21781 22728 24058 25104 28410 31380 36087 37880 41840 43562 45456 48116 56820 60145 62760 65343 72174 75760 87124 96232 108905 113640 120290 125520 130686 144348 174248 180435 192464 217810 227280 240580 261372 288696 326715 348496 360870 435620 481160 495281 522744 577392 653430 721740 871240 962320 990562 1045488 1306860 1443480 1485843 1742480 1981124 2476405 2613720 2886960 2971686 3962248 4952810 5227440 5943372 7429215 7924496 9905620 11391463 11886744 14858430 19811240 22782926 23773488 29716860 34174389 39622480 45565852 56957315 59433720 68348778 91131704 113914630 118867440 136697556 170871945 182263408 227829260 273395112 341743890 455658520 546790224 683487780 911317040 1366975560 2733951120