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2971920 = 243572961
BaseRepresentation
bin1011010101100100010000
312120222201010
423111210100
51230100140
6143410520
734155330
oct13254420
95528633
102971920
11174a936
12bb3a40
13800943
145750c0
153da880
hex2d5910

2971920 has 160 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 645120.

The previous prime is 2971909. The next prime is 2971963. The reversal of 2971920 is 291792.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 48690 + ... + 48750.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

22971920 is an apocalyptic number.

2971920 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 2971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

2971920 is an abundant number, since it is smaller than the sum of its proper divisors (8098800).

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

2971920 is a wasteful number, since it uses less digits than its factorization.

2971920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2971920 is about 1723.9257524615. The cubic root of 2971920 is about 143.7735638750.

The spelling of 2971920 in words is "two million, nine hundred seventy-one thousand, nine hundred twenty".

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 60 61 70 80 84 87 105 112 116 120 122 140 145 168 174 183 203 210 232 240 244 280 290 305 336 348 366 406 420 427 435 464 488 560 580 609 610 696 732 812 840 854 870 915 976 1015 1160 1218 1220 1281 1392 1464 1624 1680 1708 1740 1769 1830 2030 2135 2320 2436 2440 2562 2928 3045 3248 3416 3480 3538 3660 4060 4270 4872 4880 5124 5307 6090 6405 6832 6960 7076 7320 8120 8540 8845 9744 10248 10614 12180 12383 12810 14152 14640 16240 17080 17690 20496 21228 24360 24766 25620 26535 28304 34160 35380 37149 42456 48720 49532 51240 53070 61915 70760 74298 84912 99064 102480 106140 123830 141520 148596 185745 198128 212280 247660 297192 371490 424560 495320 594384 742980 990640 1485960 2971920