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145446000 = 2435373463
BaseRepresentation
bin10001010101101…
…01010001110000
3101010200102101220
420222311101300
5244213233000
622233225040
73414161550
oct1052652160
9333612356
10145446000
1175111807
1240862180
132419612b
1415461160
15cb801a0
hex8ab5470

145446000 has 160 divisors (see below), whose sum is σ = 536060928. Its totient is φ = 33235200.

The previous prime is 145445977. The next prime is 145446011. The reversal of 145446000 is 644541.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 40269 + ... + 43731.

Almost surely, 2145446000 is an apocalyptic number.

145446000 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 145446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268030464).

145446000 is an abundant number, since it is smaller than the sum of its proper divisors (390614928).

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

145446000 is a wasteful number, since it uses less digits than its factorization.

145446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145446000 is about 12060.0995020771. The cubic root of 145446000 is about 525.8968796486.

The spelling of 145446000 in words is "one hundred forty-five million, four hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3463 3500 4200 5250 6000 6926 7000 8400 10389 10500 13852 14000 17315 20778 21000 24241 27704 34630 41556 42000 48482 51945 55408 69260 72723 83112 86575 96964 103890 121205 138520 145446 166224 173150 193928 207780 242410 259725 277040 290892 346300 363615 387856 415560 432875 484820 519450 581784 606025 692600 727230 831120 865750 969640 1038900 1163568 1212050 1298625 1385200 1454460 1731500 1818075 1939280 2077800 2424100 2597250 2908920 3030125 3463000 3636150 4155600 4848200 5194500 5817840 6060250 6926000 7272300 9090375 9696400 10389000 12120500 14544600 18180750 20778000 24241000 29089200 36361500 48482000 72723000 145446000