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145417760 = 255908861
BaseRepresentation
bin10001010101011…
…10011000100000
3101010121222122222
420222232120200
5244211332020
622232450212
73414013325
oct1052563040
9333558588
10145417760
11750a2574
1240849968
1324186317
1415454b4c
15cb76b25
hex8aae620

145417760 has 24 divisors (see below), whose sum is σ = 343549836. Its totient is φ = 58167040.

The previous prime is 145417759. The next prime is 145417777. The reversal of 145417760 is 67714541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140090896 + 5326864 = 11836^2 + 2308^2 .

It is a super-2 number, since 2×1454177602 = 42292649846835200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145417760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454271 + ... + 454590.

Almost surely, 2145417760 is an apocalyptic number.

145417760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145417760 is an abundant number, since it is smaller than the sum of its proper divisors (198132076).

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

145417760 is an equidigital number, since it uses as much as digits as its factorization.

145417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908876 (or 908868 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 145417760 is about 12058.9286422965. The cubic root of 145417760 is about 525.8628411528.

The spelling of 145417760 in words is "one hundred forty-five million, four hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 908861 1817722 3635444 4544305 7270888 9088610 14541776 18177220 29083552 36354440 72708880 145417760