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145104740 = 225114116087
BaseRepresentation
bin10001010011000…
…01111101100100
3101010001002021122
420221201331210
5244121322430
622222033112
73411240614
oct1051417544
9333032248
10145104740
11749a9380
1240718798
13240a69c1
14153b2a44
15cb13ee5
hex8a61f64

145104740 has 48 divisors (see below), whose sum is σ = 340550784. Its totient is φ = 51475200.

The previous prime is 145104737. The next prime is 145104749. The reversal of 145104740 is 47401541.

It is not an unprimeable number, because it can be changed into a prime (145104749) by changing a digit.

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, 977 + ... + 17063.

It is an arithmetic number, because the mean of its divisors is an integer number (7094808).

Almost surely, 2145104740 is an apocalyptic number.

145104740 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 145104740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170275392).

145104740 is an abundant number, since it is smaller than the sum of its proper divisors (195446044).

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

145104740 is a wasteful number, since it uses less digits than its factorization.

145104740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16148 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 145104740 is about 12045.9428854698. The cubic root of 145104740 is about 525.4852535376.

The spelling of 145104740 in words is "one hundred forty-five million, one hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 16087 32174 64348 80435 160870 176957 321740 353914 659567 707828 884785 1319134 1769570 2638268 3297835 3539140 6595670 7255237 13191340 14510474 29020948 36276185 72552370 145104740