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290990128 = 241113891429
BaseRepresentation
bin10001010110000…
…010100000110000
3202021112211102011
4101112002200300
51043443141003
644512532304
710132242502
oct2126024060
9667484364
10290990128
1113a290210
1281551094
1348394b10
142a909d72
151a82e46d
hex11582830

290990128 has 80 divisors (see below), whose sum is σ = 670269600. Its totient is φ = 120637440.

The previous prime is 290990123. The next prime is 290990129. The reversal of 290990128 is 821099092.

It is not an unprimeable number, because it can be changed into a prime (290990123) 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, 202918 + ... + 204346.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2290990128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290990128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335134800).

290990128 is an abundant number, since it is smaller than the sum of its proper divisors (379279472).

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

290990128 is a wasteful number, since it uses less digits than its factorization.

290990128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 290990128 is about 17058.4327533335. The cubic root of 290990128 is about 662.6630450964.

The spelling of 290990128 in words is "two hundred ninety million, nine hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 89 104 143 176 178 208 286 356 572 712 979 1144 1157 1424 1429 1958 2288 2314 2858 3916 4628 5716 7832 9256 11432 12727 15664 15719 18512 18577 22864 25454 31438 37154 50908 62876 74308 101816 125752 127181 148616 203632 204347 251504 254362 297232 408694 508724 817388 1017448 1398991 1634776 1653353 2034896 2797982 3269552 3306706 5595964 6613412 11191928 13226824 18186883 22383856 26453648 36373766 72747532 145495064 290990128