Search a number
-
+
290672140 = 225115397257
BaseRepresentation
bin10001010100110…
…100111000001100
3202020221200012211
4101110310320030
51043403002030
644502040204
710126446433
oct2124647014
9666850184
10290672140
1113a093310
1281419064
13482b3165
142a86611a
151a7ba12a
hex11534e0c

290672140 has 96 divisors (see below), whose sum is σ = 688129344. Its totient is φ = 102236160.

The previous prime is 290672119. The next prime is 290672147. The reversal of 290672140 is 41276092.

It is not an unprimeable number, because it can be changed into a prime (290672147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130892 + ... + 1131148.

It is an arithmetic number, because the mean of its divisors is an integer number (7168014).

Almost surely, 2290672140 is an apocalyptic number.

290672140 is a gapful number since it is divisible by the number (20) 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 290672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344064672).

290672140 is an abundant number, since it is smaller than the sum of its proper divisors (397457204).

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

290672140 is a wasteful number, since it uses less digits than its factorization.

290672140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 290672140 is about 17049.1096541726. The cubic root of 290672140 is about 662.4215756224.

Subtracting from 290672140 its product of nonzero digits (6048), we obtain a palindrome (290666092).

The spelling of 290672140 in words is "two hundred ninety million, six hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 97 106 110 194 212 220 257 265 388 485 514 530 583 970 1028 1060 1067 1166 1285 1940 2134 2332 2570 2827 2915 4268 5140 5141 5335 5654 5830 10282 10670 11308 11660 13621 14135 20564 21340 24929 25705 27242 28270 49858 51410 54484 56540 56551 68105 99716 102820 113102 124645 136210 149831 226204 249290 272420 274219 282755 299662 498580 548438 565510 599324 749155 1096876 1131020 1321237 1371095 1498310 2642474 2742190 2996620 5284948 5484380 6606185 13212370 14533607 26424740 29067214 58134428 72668035 145336070 290672140