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1350370890 = 2325112124001
BaseRepresentation
bin101000001111101…
…0000011001001010
310111002221221121200
41100133100121022
510231143332030
6341555045030
745314651241
oct12037203112
93432857550
101350370890
11633281700
123182a0776
131869c313b
14cb4b3958
157d83ed60
hex507d064a

1350370890 has 72 divisors (see below), whose sum is σ = 3859190244. Its totient is φ = 327360000.

The previous prime is 1350370883. The next prime is 1350370897. The reversal of 1350370890 is 980730531.

1350370890 is a `hidden beast` number, since 1 + 3 + 503 + 70 + 89 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1350370883) and next prime (1350370897).

It can be written as a sum of positive squares in 2 ways, for example, as 1296216009 + 54154881 = 36003^2 + 7359^2 .

It is not an unprimeable number, because it can be changed into a prime (1350370897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51111 + ... + 72890.

Almost surely, 21350370890 is an apocalyptic number.

1350370890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1350370890 is an abundant number, since it is smaller than the sum of its proper divisors (2508819354).

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

1350370890 is a wasteful number, since it uses less digits than its factorization.

1350370890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124036 (or 124022 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1350370890 is about 36747.3929687536. The cubic root of 1350370890 is about 1105.3106529501.

The spelling of 1350370890 in words is "one billion, three hundred fifty million, three hundred seventy thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 124001 248002 372003 620005 744006 1116009 1240010 1364011 1860015 2232018 2728022 3720030 4092033 5580045 6820055 8184066 11160090 12276099 13640110 15004121 20460165 24552198 30008242 40920330 45012363 61380495 75020605 90024726 122760990 135037089 150041210 225061815 270074178 450123630 675185445 1350370890