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145241460 = 223257138867
BaseRepresentation
bin10001010100000…
…11010101110100
3101010022000211100
420222003111310
5244140211320
622225010100
73412350330
oct1052032564
9333260740
10145241460
1174a92071
1240783930
1324123cc0
141540a7c0
15cb3e790
hex8a83574

145241460 has 144 divisors (see below), whose sum is σ = 542295936. Its totient is φ = 30640896.

The previous prime is 145241449. The next prime is 145241471. The reversal of 145241460 is 64142541.

It is an interprime number because it is at equal distance from previous prime (145241449) and next prime (145241471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11947 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (3765944).

Almost surely, 2145241460 is an apocalyptic number.

145241460 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 145241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271147968).

145241460 is an abundant number, since it is smaller than the sum of its proper divisors (397054476).

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

145241460 is a wasteful number, since it uses less digits than its factorization.

145241460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145241460 is about 12051.6164890856. The cubic root of 145241460 is about 525.6502419255.

The spelling of 145241460 in words is "one hundred forty-five million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 8867 16380 17734 26601 35468 44335 53202 62069 79803 88670 106404 115271 124138 133005 159606 177340 186207 230542 248276 266010 310345 319212 345813 372414 399015 461084 532020 558621 576355 620690 691626 744828 798030 806897 931035 1037439 1117242 1152710 1241380 1383252 1596060 1613794 1729065 1862070 2074878 2234484 2305420 2420691 2793105 3227588 3458130 3724140 4034485 4149756 4841382 5187195 5586210 6916260 7262073 8068970 9682764 10374390 11172420 12103455 14524146 16137940 20748780 24206910 29048292 36310365 48413820 72620730 145241460