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290992080 = 24357117077
BaseRepresentation
bin10001010110000…
…010111111010000
3202021112221002110
4101112002333100
51043443221310
644512545320
710132251261
oct2126027720
9667487073
10290992080
1113a291725
1281552240
1348395982
142a90a968
151a82ed20
hex11582fd0

290992080 has 80 divisors (see below), whose sum is σ = 914834304. Its totient is φ = 76500480.

The previous prime is 290992033. The next prime is 290992103. The reversal of 290992080 is 80299092.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8502 + ... + 25578.

Almost surely, 2290992080 is an apocalyptic number.

290992080 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 290992080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457417152).

290992080 is an abundant number, since it is smaller than the sum of its proper divisors (623842224).

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

290992080 is a wasteful number, since it uses less digits than its factorization.

290992080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17164 (or 17158 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 290992080 is about 17058.4899683413. The cubic root of 290992080 is about 662.6645268367.

The spelling of 290992080 in words is "two hundred ninety million, nine hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 17077 34154 51231 68308 85385 102462 136616 170770 204924 256155 273232 341540 409848 512310 683080 819696 1024620 1212467 1366160 2049240 2424934 3637401 4098480 4849868 6062335 7274802 9699736 12124670 14549604 18187005 19399472 24249340 29099208 36374010 48498680 58198416 72748020 96997360 145496040 290992080