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2901420 = 22365199
BaseRepresentation
bin1011000100010110101100
312110102000000
423010112230
51220321140
6142104300
733442644
oct13042654
95412000
102901420
111701975
12b7b090
137a7822
14557524
153c4a30
hex2c45ac

2901420 has 84 divisors (see below), whose sum is σ = 9181200. Its totient is φ = 769824.

The previous prime is 2901419. The next prime is 2901463. The reversal of 2901420 is 241092.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2901393 and 2901402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14481 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (109300).

22901420 is an apocalyptic number.

2901420 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 2901420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590600).

2901420 is an abundant number, since it is smaller than the sum of its proper divisors (6279780).

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

2901420 is a wasteful number, since it uses less digits than its factorization.

2901420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2901420 is about 1703.3555119235. The cubic root of 2901420 is about 142.6275865630.

It can be divided in two parts, 2901 and 420, that added together give a triangular number (3321 = T81).

The spelling of 2901420 in words is "two million, nine hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 199 243 270 324 398 405 486 540 597 729 796 810 972 995 1194 1215 1458 1620 1791 1990 2388 2430 2916 2985 3582 3645 3980 4860 5373 5970 7164 7290 8955 10746 11940 14580 16119 17910 21492 26865 32238 35820 48357 53730 64476 80595 96714 107460 145071 161190 193428 241785 290142 322380 483570 580284 725355 967140 1450710 2901420