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2972060 = 2257132371
BaseRepresentation
bin1011010101100110011100
312120222220022
423111212130
51230101220
6143411312
734155620
oct13254634
95528808
102972060
11174aa53
12bb3b38
13800a20
14575180
153da925
hex2d599c

2972060 has 96 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 887040.

The previous prime is 2972041. The next prime is 2972069. The reversal of 2972060 is 602792.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972069) 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, 41825 + ... + 41895.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

22972060 is an apocalyptic number.

2972060 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 2972060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2972060 is an abundant number, since it is smaller than the sum of its proper divisors (5156452).

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

2972060 is a wasteful number, since it uses less digits than its factorization.

2972060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2972060 is about 1723.9663569803. The cubic root of 2972060 is about 143.7758214484.

The spelling of 2972060 in words is "two million, nine hundred seventy-two thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 71 91 92 115 130 140 142 161 182 230 260 284 299 322 355 364 455 460 497 598 644 710 805 910 923 994 1196 1420 1495 1610 1633 1820 1846 1988 2093 2485 2990 3220 3266 3692 4186 4615 4970 5980 6461 6532 8165 8372 9230 9940 10465 11431 12922 16330 18460 20930 21229 22862 25844 32305 32660 41860 42458 45724 57155 64610 84916 106145 114310 129220 148603 212290 228620 297206 424580 594412 743015 1486030 2972060