Search a number
-
+
145787000 = 2353197673
BaseRepresentation
bin10001011000010…
…00100001111000
3101011022202011112
420230020201320
5244310141000
622244415452
73420111662
oct1054104170
9334282145
10145787000
1175324a27
12409a7588
13242853c8
141550d532
15cbeb235
hex8b08878

145787000 has 64 divisors (see below), whose sum is σ = 359143200. Its totient is φ = 55238400.

The previous prime is 145786961. The next prime is 145787009. The reversal of 145787000 is 787541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145787009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15164 + ... + 22836.

Almost surely, 2145787000 is an apocalyptic number.

145787000 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 145787000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179571600).

145787000 is an abundant number, since it is smaller than the sum of its proper divisors (213356200).

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

145787000 is a wasteful number, since it uses less digits than its factorization.

145787000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 145787000 is about 12074.2287538377. The cubic root of 145787000 is about 526.3075495201.

The spelling of 145787000 in words is "one hundred forty-five million, seven hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 7673 9500 15346 19000 30692 38365 61384 76730 145787 153460 191825 291574 306920 383650 583148 728935 767300 959125 1166296 1457870 1534600 1918250 2915740 3644675 3836500 5831480 7289350 7673000 14578700 18223375 29157400 36446750 72893500 145787000