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145431720 = 23335719237
BaseRepresentation
bin10001010101100…
…01110010101000
3101010122200211000
420222301302220
5244212303340
622233035000
73414102120
oct1052616250
9333580730
10145431720
1175102005
1240855a60
132418c795
1415459c80
15cb7ad30
hex8ab1ca8

145431720 has 128 divisors (see below), whose sum is σ = 554054400. Its totient is φ = 33239808.

The previous prime is 145431709. The next prime is 145431743. The reversal of 145431720 is 27134541.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2059 + ... + 17178.

It is an arithmetic number, because the mean of its divisors is an integer number (4328550).

Almost surely, 2145431720 is an apocalyptic number.

145431720 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 145431720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277027200).

145431720 is an abundant number, since it is smaller than the sum of its proper divisors (408622680).

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

145431720 is a wasteful number, since it uses less digits than its factorization.

145431720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19264 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145431720 is about 12059.5074526284. The cubic root of 145431720 is about 525.8796680988.

The spelling of 145431720 in words is "one hundred forty-five million, four hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 19237 38474 57711 76948 96185 115422 134659 153896 173133 192370 230844 269318 288555 346266 384740 403977 461688 519399 538636 577110 673295 692532 769480 807954 865665 1038798 1077272 1154220 1211931 1346590 1385064 1615908 1731330 2019885 2077596 2308440 2423862 2596995 2693180 3231816 3462660 3635793 4039770 4155192 4847724 5193990 5386360 6059655 6925320 7271586 8079540 9695448 10387980 12119310 14543172 16159080 18178965 20775960 24238620 29086344 36357930 48477240 72715860 145431720