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145714632 = 2337331571
BaseRepresentation
bin10001010111101…
…10110111001000
3101011012001220020
420223312313020
5244300332012
622243100440
73416361000
oct1053666710
9334161806
10145714632
1175285618
1240971720
132425b49b
14154d1000
15cbd4a8c
hex8af6dc8

145714632 has 128 divisors (see below), whose sum is σ = 439296000. Its totient is φ = 40219200.

The previous prime is 145714609. The next prime is 145714687. The reversal of 145714632 is 236417541.

It is a junction number, because it is equal to n+sod(n) for n = 145714593 and 145714602.

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, 254907 + ... + 255477.

It is an arithmetic number, because the mean of its divisors is an integer number (3432000).

Almost surely, 2145714632 is an apocalyptic number.

145714632 is a gapful number since it is divisible by the number (12) 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 145714632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219648000).

145714632 is an abundant number, since it is smaller than the sum of its proper divisors (293581368).

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

145714632 is a wasteful number, since it uses less digits than its factorization.

145714632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 145714632 is about 12071.2315858822. The cubic root of 145714632 is about 526.2204495531.

The spelling of 145714632 in words is "one hundred forty-five million, seven hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 343 372 392 434 571 588 651 686 744 868 1029 1142 1176 1302 1372 1519 1713 1736 2058 2284 2604 2744 3038 3426 3997 4116 4557 4568 5208 6076 6852 7994 8232 9114 10633 11991 12152 13704 15988 17701 18228 21266 23982 27979 31899 31976 35402 36456 42532 47964 53103 55958 63798 70804 83937 85064 95928 106206 111916 123907 127596 141608 167874 195853 212412 223832 247814 255192 335748 371721 391706 424824 495628 587559 671496 743442 783412 867349 991256 1175118 1486884 1566824 1734698 2350236 2602047 2973768 3469396 4700472 5204094 6071443 6938792 10408188 12142886 18214329 20816376 24285772 36428658 48571544 72857316 145714632