Search a number
-
+
145246780 = 2257331683
BaseRepresentation
bin10001010100001…
…00101000111100
3101010022022010101
420222010220330
5244140344110
622225050444
73412402000
oct1052045074
9333268111
10145246780
1174a96068
1240786a24
1324126553
141540c700
15cb4113a
hex8a84a3c

145246780 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 48121920.

The previous prime is 145246757. The next prime is 145246847. The reversal of 145246780 is 87642541.

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, 212319 + ... + 213001.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2145246780 is an apocalyptic number.

145246780 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 145246780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

145246780 is an abundant number, since it is smaller than the sum of its proper divisors (222471620).

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

145246780 is a wasteful number, since it uses less digits than its factorization.

145246780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 145246780 is about 12051.8372043436. The cubic root of 145246780 is about 525.6566598017.

The spelling of 145246780 in words is "one hundred forty-five million, two hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 343 434 490 620 683 686 868 980 1085 1366 1372 1519 1715 2170 2732 3038 3415 3430 4340 4781 6076 6830 6860 7595 9562 10633 13660 15190 19124 21173 21266 23905 30380 33467 42346 42532 47810 53165 66934 84692 95620 105865 106330 133868 148211 167335 211730 212660 234269 296422 334670 423460 468538 592844 669340 741055 937076 1037477 1171345 1482110 2074954 2342690 2964220 4149908 4685380 5187385 7262339 10374770 14524678 20749540 29049356 36311695 72623390 145246780