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145273440 = 25351331751
BaseRepresentation
bin10001010100010…
…11001001100000
3101010100122200210
420222023021200
5244142222230
622225414120
73412542504
oct1052131140
9333318623
10145273440
11750040a4
124079a340
1324135720
1415418304
15cb48eb0
hex8a8b260

145273440 has 192 divisors, whose sum is σ = 509386752. Its totient is φ = 34560000.

The previous prime is 145273439. The next prime is 145273519. The reversal of 145273440 is 44372541.

It is a super-2 number, since 2×1452734402 = 42208744738867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145273398 and 145273407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193065 + ... + 193815.

It is an arithmetic number, because the mean of its divisors is an integer number (2653056).

Almost surely, 2145273440 is an apocalyptic number.

145273440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254693376).

145273440 is an abundant number, since it is smaller than the sum of its proper divisors (364113312).

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

145273440 is a wasteful number, since it uses less digits than its factorization.

145273440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 145273440 is about 12052.9432090258. The cubic root of 145273440 is about 525.6888192048.

The spelling of 145273440 in words is "one hundred forty-five million, two hundred seventy-three thousand, four hundred forty".