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274066080 = 25352392389
BaseRepresentation
bin10000010101011…
…110101010100000
3201002200222222120
4100111132222200
51030130103310
643110104240
76535344321
oct2025365240
9632628876
10274066080
111307809a2
127794b080
1344a1a7a2
1428582448
15190d9b70
hex1055eaa0

274066080 has 96 divisors (see below), whose sum is σ = 867283200. Its totient is φ = 72748032.

The previous prime is 274066073. The next prime is 274066087. The reversal of 274066080 is 80660472.

It is an interprime number because it is at equal distance from previous prime (274066073) and next prime (274066087).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2740660802 = 150224432413132800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (274066087) 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, 113526 + ... + 115914.

It is an arithmetic number, because the mean of its divisors is an integer number (9034200).

Almost surely, 2274066080 is an apocalyptic number.

274066080 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 274066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433641600).

274066080 is an abundant number, since it is smaller than the sum of its proper divisors (593217120).

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

274066080 is a wasteful number, since it uses less digits than its factorization.

274066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 274066080 is about 16554.9412563138. The cubic root of 274066080 is about 649.5587379860.

The spelling of 274066080 in words is "two hundred seventy-four million, sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 239 240 478 480 717 956 1195 1434 1912 2389 2390 2868 3585 3824 4778 4780 5736 7167 7170 7648 9556 9560 11472 11945 14334 14340 19112 19120 22944 23890 28668 28680 35835 38224 38240 47780 57336 57360 71670 76448 95560 114672 114720 143340 191120 229344 286680 382240 570971 573360 1141942 1146720 1712913 2283884 2854855 3425826 4567768 5709710 6851652 8564565 9135536 11419420 13703304 17129130 18271072 22838840 27406608 34258260 45677680 54813216 68516520 91355360 137033040 274066080