Search a number
-
+
370092420 = 223252056069
BaseRepresentation
bin10110000011110…
…010100110000100
3221210101122100200
4112003302212010
51224220424140
6100420210500
712112506435
oct2603624604
9853348320
10370092420
1117a9a8a05
12a3b39a30
135b89c6c9
143721b48c
1522757030
hex160f2984

370092420 has 36 divisors (see below), whose sum is σ = 1122614220. Its totient is φ = 98691264.

The previous prime is 370092413. The next prime is 370092451. The reversal of 370092420 is 24290073.

370092420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106874244 + 263218176 = 10338^2 + 16224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027855 + ... + 1028214.

Almost surely, 2370092420 is an apocalyptic number.

370092420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

370092420 is an abundant number, since it is smaller than the sum of its proper divisors (752521800).

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

370092420 is a wasteful number, since it uses less digits than its factorization.

370092420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056084 (or 2056079 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 370092420 is about 19237.7862551802. The cubic root of 370092420 is about 717.9652039427.

The spelling of 370092420 in words is "three hundred seventy million, ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2056069 4112138 6168207 8224276 10280345 12336414 18504621 20560690 24672828 30841035 37009242 41121380 61682070 74018484 92523105 123364140 185046210 370092420