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145053360 = 24325296947
BaseRepresentation
bin10001010010101…
…01011010110000
3101002221110210200
420221111122300
5244113201420
622220555200
73410635044
oct1051253260
9332843720
10145053360
1174973811
12406b2b00
13240894ba
141539c024
15cb03b90
hex8a556b0

145053360 has 120 divisors (see below), whose sum is σ = 504007920. Its totient is φ = 37341696.

The previous prime is 145053347. The next prime is 145053379. The reversal of 145053360 is 63350541.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17407 + ... + 24353.

It is an arithmetic number, because the mean of its divisors is an integer number (4200066).

Almost surely, 2145053360 is an apocalyptic number.

145053360 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 145053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252003960).

145053360 is an abundant number, since it is smaller than the sum of its proper divisors (358954560).

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

145053360 is a wasteful number, since it uses less digits than its factorization.

145053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 145053360 is about 12043.8100283922. The cubic root of 145053360 is about 525.4232233570.

The spelling of 145053360 in words is "one hundred forty-five million, fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6947 6960 10440 13894 20841 20880 27788 34735 41682 55576 62523 69470 83364 104205 111152 125046 138940 166728 201463 208410 250092 277880 312615 333456 402926 416820 500184 555760 604389 625230 805852 833640 1000368 1007315 1208778 1250460 1611704 1667280 1813167 2014630 2417556 2500920 3021945 3223408 3626334 4029260 4835112 5001840 6043890 7252668 8058520 9065835 9670224 12087780 14505336 16117040 18131670 24175560 29010672 36263340 48351120 72526680 145053360