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370027420 = 22572491769
BaseRepresentation
bin10110000011100…
…010101110011100
3221210021100012021
4112003202232130
51224211334140
6100414545524
712112116100
oct2603425634
9853240167
10370027420
1117a964094
12a3b082a4
135b878c49
1437201900
1522742b4a
hex160e2b9c

370027420 has 72 divisors (see below), whose sum is σ = 906942960. Its totient is φ = 126443520.

The previous prime is 370027391. The next prime is 370027421. The reversal of 370027420 is 24720073.

370027420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

370027420 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370027421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480796 + ... + 481564.

It is an arithmetic number, because the mean of its divisors is an integer number (12596430).

Almost surely, 2370027420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370027420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453471480).

370027420 is an abundant number, since it is smaller than the sum of its proper divisors (536915540).

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

370027420 is a wasteful number, since it uses less digits than its factorization.

370027420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 370027420 is about 19236.0967974275. The cubic root of 370027420 is about 717.9231689733.

Adding to 370027420 its reverse (24720073), we get a palindrome (394747493).

The spelling of 370027420 in words is "three hundred seventy million, twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 491 769 980 982 1538 1964 2455 3076 3437 3845 4910 5383 6874 7690 9820 10766 13748 15380 17185 21532 24059 26915 34370 37681 48118 53830 68740 75362 96236 107660 120295 150724 188405 240590 376810 377579 481180 753620 755158 1510316 1887895 2643053 3775790 5286106 7551580 10572212 13215265 18501371 26430530 37002742 52861060 74005484 92506855 185013710 370027420