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145251740 = 225173113781
BaseRepresentation
bin10001010100001…
…01110110011100
3101010022112221002
420222011312130
5244141023430
622225125432
73412422314
oct1052056634
9333275832
10145251740
1174a99867
1240789878
132412889a
1415410444
15cb42845
hex8a85d9c

145251740 has 48 divisors (see below), whose sum is σ = 333414144. Its totient is φ = 52915200.

The previous prime is 145251707. The next prime is 145251763. The reversal of 145251740 is 47152541.

145251740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3650 + ... + 17430.

It is an arithmetic number, because the mean of its divisors is an integer number (6946128).

Almost surely, 2145251740 is an apocalyptic number.

145251740 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 145251740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166707072).

145251740 is an abundant number, since it is smaller than the sum of its proper divisors (188162404).

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

145251740 is a wasteful number, since it uses less digits than its factorization.

145251740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 145251740 is about 12052.0429803415. The cubic root of 145251740 is about 525.6626432444.

The spelling of 145251740 in words is "one hundred forty-five million, two hundred fifty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 13781 27562 55124 68905 137810 234277 275620 427211 468554 854422 937108 1171385 1708844 2136055 2342770 4272110 4685540 7262587 8544220 14525174 29050348 36312935 72625870 145251740