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145929360 = 24351747761
BaseRepresentation
bin10001011001010…
…11010010010000
3101011120222110010
420230223102100
5244324214420
622251434520
73421244013
oct1054532220
9334528403
10145929360
1175411985
1240a55a40
1324305145
141554937a
15cc284e0
hex8b2b490

145929360 has 160 divisors (see below), whose sum is σ = 489825792. Its totient is φ = 35799040.

The previous prime is 145929359. The next prime is 145929383. The reversal of 145929360 is 63929541.

It is a super-2 number, since 2×1459293602 = 42590756220019200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191380 + ... + 192140.

Almost surely, 2145929360 is an apocalyptic number.

145929360 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 145929360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912896).

145929360 is an abundant number, since it is smaller than the sum of its proper divisors (343896432).

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

145929360 is a wasteful number, since it uses less digits than its factorization.

145929360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 145929360 is about 12080.1225159350. The cubic root of 145929360 is about 526.4788056861.

The spelling of 145929360 in words is "one hundred forty-five million, nine hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 120 136 141 170 188 204 235 240 255 272 282 340 376 408 470 510 564 680 705 752 761 799 816 940 1020 1128 1360 1410 1522 1598 1880 2040 2256 2283 2397 2820 3044 3196 3760 3805 3995 4080 4566 4794 5640 6088 6392 7610 7990 9132 9588 11280 11415 11985 12176 12784 12937 15220 15980 18264 19176 22830 23970 25874 30440 31960 35767 36528 38352 38811 45660 47940 51748 60880 63920 64685 71534 77622 91320 95880 103496 107301 129370 143068 155244 178835 182640 191760 194055 206992 214602 258740 286136 310488 357670 388110 429204 517480 536505 572272 608039 620976 715340 776220 858408 1034960 1073010 1216078 1430680 1552440 1716816 1824117 2146020 2432156 2861360 3040195 3104880 3648234 4292040 4864312 6080390 7296468 8584080 9120585 9728624 12160780 14592936 18241170 24321560 29185872 36482340 48643120 72964680 145929360