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145707040 = 2556114929
BaseRepresentation
bin10001010111101…
…01000000100000
3101011011200111001
420223311000200
5244300111130
622243001344
73416326603
oct1053650040
9334150431
10145707040
117527a946
1240969254
1324257bab
14154cc33a
15cbd26ca
hex8af5020

145707040 has 48 divisors (see below), whose sum is σ = 349899480. Its totient is φ = 57323520.

The previous prime is 145707031. The next prime is 145707053. The reversal of 145707040 is 40707541.

It can be written as a sum of positive squares in 4 ways, for example, as 104284944 + 41422096 = 10212^2 + 6436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 17224.

Almost surely, 2145707040 is an apocalyptic number.

145707040 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 145707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174949740).

145707040 is an abundant number, since it is smaller than the sum of its proper divisors (204192440).

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

145707040 is a wasteful number, since it uses less digits than its factorization.

145707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 145707040 is about 12070.9171151160. The cubic root of 145707040 is about 526.2113103770.

The spelling of 145707040 in words is "one hundred forty-five million, seven hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 14929 29858 59716 74645 119432 149290 238864 298580 477728 597160 910669 1194320 1821338 2388640 3642676 4553345 7285352 9106690 14570704 18213380 29141408 36426760 72853520 145707040