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152213040 = 24335710067
BaseRepresentation
bin10010001001010…
…01011000110000
3101121102020001000
421010221120300
5302431304130
623034242000
73525534540
oct1104513060
9347366030
10152213040
1178a13a01
1242b86300
13256c52b5
1416303320
15d56a260
hex9129630

152213040 has 160 divisors (see below), whose sum is σ = 599247360. Its totient is φ = 34788096.

The previous prime is 152213029. The next prime is 152213059. The reversal of 152213040 is 40312251.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10087 + ... + 20153.

It is an arithmetic number, because the mean of its divisors is an integer number (3745296).

Almost surely, 2152213040 is an apocalyptic number.

152213040 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 152213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299623680).

152213040 is an abundant number, since it is smaller than the sum of its proper divisors (447034320).

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

152213040 is a wasteful number, since it uses less digits than its factorization.

152213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152213040 is about 12337.4648935671. The cubic root of 152213040 is about 533.9295450539.

Adding to 152213040 its reverse (40312251), we get a palindrome (192525291).

The spelling of 152213040 in words is "one hundred fifty-two million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 10067 15120 20134 30201 40268 50335 60402 70469 80536 90603 100670 120804 140938 151005 161072 181206 201340 211407 241608 271809 281876 302010 352345 362412 402680 422814 453015 483216 543618 563752 604020 634221 704690 724824 805360 845628 906030 1057035 1087236 1127504 1208040 1268442 1359045 1409380 1449648 1691256 1812060 1902663 2114070 2174472 2416080 2536884 2718090 2818760 3171105 3382512 3624120 3805326 4228140 4348944 5073768 5436180 5637520 6342210 7248240 7610652 8456280 9513315 10147536 10872360 12684420 15221304 16912560 19026630 21744720 25368840 30442608 38053260 50737680 76106520 152213040