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2973880 = 2357131943
BaseRepresentation
bin1011010110000010111000
312121002101201
423112002320
51230131010
6143423544
734164130
oct13260270
95532351
102973880
111751358
12bb4bb4
138017c0
14575ac0
153db23a
hex2d60b8

2973880 has 128 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 870912.

The previous prime is 2973871. The next prime is 2973881. The reversal of 2973880 is 883792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973881) 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, 69139 + ... + 69181.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

22973880 is an apocalyptic number.

2973880 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 2973880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2973880 is an abundant number, since it is smaller than the sum of its proper divisors (5896520).

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

2973880 is a wasteful number, since it uses less digits than its factorization.

2973880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2973880 is about 1724.4941287230. The cubic root of 2973880 is about 143.8051634536.

The spelling of 2973880 in words is "two million, nine hundred seventy-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 43 52 56 65 70 76 86 91 95 104 130 133 140 152 172 182 190 215 247 260 266 280 301 344 364 380 430 455 494 520 532 559 602 665 728 760 817 860 910 988 1064 1118 1204 1235 1330 1505 1634 1720 1729 1820 1976 2236 2408 2470 2660 2795 3010 3268 3458 3640 3913 4085 4472 4940 5320 5590 5719 6020 6536 6916 7826 8170 8645 9880 10621 11180 11438 12040 13832 15652 16340 17290 19565 21242 22360 22876 28595 31304 32680 34580 39130 42484 45752 53105 57190 69160 74347 78260 84968 106210 114380 148694 156520 212420 228760 297388 371735 424840 594776 743470 1486940 2973880