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370139121 = 32114532
BaseRepresentation
bin10110000011111…
…101111111110001
3221210111000102100
4112003331333301
51224223422441
6100421211013
712113062542
oct2603757761
9853430370
10370139121
1117aa30000
12a3b60a69
135b8b7a41
14372304c9
1522765cb6
hex160fdff1

370139121 has 45 divisors (see below), whose sum is σ = 599411995. Its totient is φ = 220094160.

The previous prime is 370139047. The next prime is 370139149. The reversal of 370139121 is 121931073.

The square root of 370139121 is 19239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 266832225 + 103306896 = 16335^2 + 10164^2 .

It is not a de Polignac number, because 370139121 - 215 = 370106353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (370139221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6983731 + ... + 6983783.

Almost surely, 2370139121 is an apocalyptic number.

370139121 is the 19239-th square number.

370139121 is the 9620-th centered octagonal number.

It is an amenable number.

370139121 is a deficient number, since it is larger than the sum of its proper divisors (229272874).

370139121 is an frugal number, since it uses more digits than its factorization.

370139121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The cubic root of 370139121 is about 717.9954020598.

The spelling of 370139121 in words is "three hundred seventy million, one hundred thirty-nine thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 121 159 363 477 583 1089 1331 1749 2809 3993 5247 6413 8427 11979 14641 19239 25281 30899 43923 57717 70543 92697 131769 211629 278091 339889 634887 775973 1019667 2327919 3059001 3738779 6983757 11216337 33649011 41126569 123379707 370139121