Search a number
-
+
2874480 = 243572959
BaseRepresentation
bin1010111101110001110000
312102001001020
422331301300
51213440410
6141335440
733301260
oct12756160
95361036
102874480
111693704
12b67580
1379849b
1454b7a0
153bba70
hex2bdc70

2874480 has 160 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 623616.

The previous prime is 2874467. The next prime is 2874481. The reversal of 2874480 is 844782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48691 + ... + 48749.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22874480 is an apocalyptic number.

2874480 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 2874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

2874480 is an abundant number, since it is smaller than the sum of its proper divisors (7839120).

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

2874480 is a wasteful number, since it uses less digits than its factorization.

2874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2874480 is about 1695.4291492127. The cubic root of 2874480 is about 142.1847756593.

The spelling of 2874480 in words is "two million, eight hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 59 60 70 80 84 87 105 112 116 118 120 140 145 168 174 177 203 210 232 236 240 280 290 295 336 348 354 406 413 420 435 464 472 560 580 590 609 696 708 812 826 840 870 885 944 1015 1160 1180 1218 1239 1392 1416 1624 1652 1680 1711 1740 1770 2030 2065 2320 2360 2436 2478 2832 3045 3248 3304 3422 3480 3540 4060 4130 4720 4872 4956 5133 6090 6195 6608 6844 6960 7080 8120 8260 8555 9744 9912 10266 11977 12180 12390 13688 14160 16240 16520 17110 19824 20532 23954 24360 24780 25665 27376 33040 34220 35931 41064 47908 48720 49560 51330 59885 68440 71862 82128 95816 99120 102660 119770 136880 143724 179655 191632 205320 239540 287448 359310 410640 479080 574896 718620 958160 1437240 2874480