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274486920 = 233519131919
BaseRepresentation
bin10000010111000…
…101011010001000
3201010111101021020
4100113011122020
51030232040140
643123112440
76542046261
oct2027053210
9633441236
10274486920
11130a390a4
1277b12720
1344b371c6
1428651968
151916e6d0
hex105c5688

274486920 has 128 divisors (see below), whose sum is σ = 874368000. Its totient is φ = 68739840.

The previous prime is 274486907. The next prime is 274486951. The reversal of 274486920 is 29684472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298221 + ... + 299139.

It is an arithmetic number, because the mean of its divisors is an integer number (6831000).

Almost surely, 2274486920 is an apocalyptic number.

274486920 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 274486920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437184000).

274486920 is an abundant number, since it is smaller than the sum of its proper divisors (599881080).

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

274486920 is a wasteful number, since it uses less digits than its factorization.

274486920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 274486920 is about 16567.6467852257. The cubic root of 274486920 is about 649.8910428809.

The spelling of 274486920 in words is "two hundred seventy-four million, four hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 131 152 190 228 262 285 380 393 456 524 570 655 760 786 919 1048 1140 1310 1572 1838 1965 2280 2489 2620 2757 3144 3676 3930 4595 4978 5240 5514 7352 7467 7860 9190 9956 11028 12445 13785 14934 15720 17461 18380 19912 22056 24890 27570 29868 34922 36760 37335 49780 52383 55140 59736 69844 74670 87305 99560 104766 110280 120389 139688 149340 174610 209532 240778 261915 298680 349220 361167 419064 481556 523830 601945 698440 722334 963112 1047660 1203890 1444668 1805835 2095320 2287391 2407780 2889336 3611670 4574782 4815560 6862173 7223340 9149564 11436955 13724346 14446680 18299128 22873910 27448692 34310865 45747820 54897384 68621730 91495640 137243460 274486920