Search a number
-
+
145494300 = 22352779877
BaseRepresentation
bin10001010110000…
…01000100011100
3101010202212122210
420223001010130
5244221304200
622234240420
73414452430
oct1053010434
9333685583
10145494300
1175145026
1240886110
13241b2103
14154749c0
15cb8e650
hex8ac111c

145494300 has 144 divisors (see below), whose sum is σ = 487746560. Its totient is φ = 32797440.

The previous prime is 145494227. The next prime is 145494301. The reversal of 145494300 is 3494541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145494301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165462 + ... + 166338.

Almost surely, 2145494300 is an apocalyptic number.

145494300 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 145494300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243873280).

145494300 is an abundant number, since it is smaller than the sum of its proper divisors (342252260).

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

145494300 is a wasteful number, since it uses less digits than its factorization.

145494300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 145494300 is about 12062.1018068992. The cubic root of 145494300 is about 525.9550868368.

The spelling of 145494300 in words is "one hundred forty-five million, four hundred ninety-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 79 84 100 105 140 150 158 175 210 237 300 316 350 395 420 474 525 553 700 790 877 948 1050 1106 1185 1580 1659 1754 1975 2100 2212 2370 2631 2765 3318 3508 3950 4385 4740 5262 5530 5925 6139 6636 7900 8295 8770 10524 11060 11850 12278 13155 13825 16590 17540 18417 21925 23700 24556 26310 27650 30695 33180 36834 41475 43850 52620 55300 61390 65775 69283 73668 82950 87700 92085 122780 131550 138566 153475 165900 184170 207849 263100 277132 306950 346415 368340 415698 460425 484981 613900 692830 831396 920850 969962 1039245 1385660 1454943 1732075 1841700 1939924 2078490 2424905 2909886 3464150 4156980 4849810 5196225 5819772 6928300 7274715 9699620 10392450 12124525 14549430 20784900 24249050 29098860 36373575 48498100 72747150 145494300