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2970120 = 233553467
BaseRepresentation
bin1011010101001000001000
312120220020110
423111020020
51230020440
6143354320
734150146
oct13251010
95526213
102970120
11174954a
12bb29a0
137ccb8a
14574596
153da080
hex2d5208

2970120 has 64 divisors (see below), whose sum is σ = 9097920. Its totient is φ = 775424.

The previous prime is 2970109. The next prime is 2970127. The reversal of 2970120 is 210792.

It is a happy number.

It is a super-2 number, since 2×29701202 = 17643225628800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2970127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (142155).

22970120 is an apocalyptic number.

2970120 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 2970120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548960).

2970120 is an abundant number, since it is smaller than the sum of its proper divisors (6127800).

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

2970120 is a wasteful number, since it uses less digits than its factorization.

2970120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2970120 is about 1723.4036091409. The cubic root of 2970120 is about 143.7445316130.

The spelling of 2970120 in words is "two million, nine hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 467 530 636 795 934 1060 1272 1401 1590 1868 2120 2335 2802 3180 3736 4670 5604 6360 7005 9340 11208 14010 18680 24751 28020 49502 56040 74253 99004 123755 148506 198008 247510 297012 371265 495020 594024 742530 990040 1485060 2970120