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145415380 = 22511260089
BaseRepresentation
bin10001010101011…
…01110011010100
3101010121212101211
420222231303110
5244211243010
622232431204
73414003355
oct1052556324
9333555354
10145415380
11750a0800
1240848504
1324185206
1415453d2c
15cb7608a
hex8aadcd4

145415380 has 36 divisors (see below), whose sum is σ = 335662740. Its totient is φ = 52877440.

The previous prime is 145415377. The next prime is 145415383. The reversal of 145415380 is 83514541.

145415380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145415377) and next prime (145415383).

It can be written as a sum of positive squares in 2 ways, for example, as 112444816 + 32970564 = 10604^2 + 5742^2 .

It is a super-2 number, since 2×1454153802 = 42291265481088800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145415383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27625 + ... + 32464.

It is an arithmetic number, because the mean of its divisors is an integer number (9323965).

Almost surely, 2145415380 is an apocalyptic number.

145415380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145415380 is an abundant number, since it is smaller than the sum of its proper divisors (190247360).

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

145415380 is a wasteful number, since it uses less digits than its factorization.

145415380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60120 (or 60107 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 145415380 is about 12058.8299598261. The cubic root of 145415380 is about 525.8599722680.

The spelling of 145415380 in words is "one hundred forty-five million, four hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 60089 120178 240356 300445 600890 660979 1201780 1321958 2643916 3304895 6609790 7270769 13219580 14541538 29083076 36353845 72707690 145415380