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2970420 = 2235311597
BaseRepresentation
bin1011010101001100110100
312120220122120
423111030310
51230023140
6143355540
734151055
oct13251464
95526576
102970420
1117497a2
12bb2bb0
1380005b
1457472c
153da1d0
hex2d5334

2970420 has 48 divisors (see below), whose sum is σ = 8590848. Its totient is φ = 766080.

The previous prime is 2970413. The next prime is 2970421. The reversal of 2970420 is 240792.

2970420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 2658.

It is an arithmetic number, because the mean of its divisors is an integer number (178976).

22970420 is an apocalyptic number.

2970420 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 2970420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295424).

2970420 is an abundant number, since it is smaller than the sum of its proper divisors (5620428).

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

2970420 is a wasteful number, since it uses less digits than its factorization.

2970420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2970420 is about 1723.4906440129. The cubic root of 2970420 is about 143.7493711378.

The spelling of 2970420 in words is "two million, nine hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1597 1860 3194 4791 6388 7985 9582 15970 19164 23955 31940 47910 49507 95820 99014 148521 198028 247535 297042 495070 594084 742605 990140 1485210 2970420