Search a number
-
+
146890240 = 295721171
BaseRepresentation
bin10001100000101…
…01111000000000
3101020101210112021
420300111320000
5300100441430
622324211224
73432355300
oct1060257000
9336353467
10146890240
1175a088a2
1241239b14
1324580603
1415719600
15cd6807a
hex8c15e00

146890240 has 120 divisors (see below), whose sum is σ = 410042952. Its totient is φ = 50319360.

The previous prime is 146890231. The next prime is 146890243. The reversal of 146890240 is 42098641.

It is a junction number, because it is equal to n+sod(n) for n = 146890196 and 146890205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146890243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124855 + ... + 126025.

Almost surely, 2146890240 is an apocalyptic number.

146890240 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 146890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205021476).

146890240 is an abundant number, since it is smaller than the sum of its proper divisors (263152712).

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

146890240 is an equidigital number, since it uses as much as digits as its factorization.

146890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 146890240 is about 12119.8283816232. The cubic root of 146890240 is about 527.6318216856.

The spelling of 146890240 in words is "one hundred forty-six million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1171 1280 1568 1792 1960 2240 2342 2560 3136 3584 3920 4480 4684 5855 6272 7840 8197 8960 9368 11710 12544 15680 16394 17920 18736 23420 25088 31360 32788 37472 40985 46840 57379 62720 65576 74944 81970 93680 114758 125440 131152 149888 163940 187360 229516 262304 286895 299776 327880 374720 459032 524608 573790 599552 655760 749440 918064 1049216 1147580 1311520 1498880 1836128 2098432 2295160 2623040 2997760 3672256 4196864 4590320 5246080 7344512 9180640 10492160 14689024 18361280 20984320 29378048 36722560 73445120 146890240