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274068520 = 235113171283
BaseRepresentation
bin10000010101011…
…111010000101000
3201002201010022221
4100111133100220
51030130143040
643110123424
76535354405
oct2025372050
9632633287
10274068520
11130782810
1277950574
1344a1b92b
14285832ac
15190da74a
hex1055f428

274068520 has 128 divisors (see below), whose sum is σ = 706682880. Its totient is φ = 94752000.

The previous prime is 274068497. The next prime is 274068527. The reversal of 274068520 is 25860472.

It is a super-2 number, since 2×2740685202 = 150227107309980800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (274068527) 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, 968299 + ... + 968581.

It is an arithmetic number, because the mean of its divisors is an integer number (5520960).

Almost surely, 2274068520 is an apocalyptic number.

274068520 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 274068520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353341440).

274068520 is an abundant number, since it is smaller than the sum of its proper divisors (432614360).

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

274068520 is a wasteful number, since it uses less digits than its factorization.

274068520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 274068520 is about 16555.0149501594. The cubic root of 274068520 is about 649.5606656459.

The spelling of 274068520 in words is "two hundred seventy-four million, sixty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 71 88 110 124 142 155 220 248 283 284 310 341 355 440 566 568 620 682 710 781 1132 1240 1364 1415 1420 1562 1705 2201 2264 2728 2830 2840 3113 3124 3410 3905 4402 5660 6226 6248 6820 7810 8773 8804 11005 11320 12452 13640 15565 15620 17546 17608 20093 22010 24211 24904 31130 31240 35092 40186 43865 44020 48422 62260 70184 80372 87730 88040 96503 96844 100465 121055 124520 160744 175460 193006 193688 200930 221023 242110 350920 386012 401860 442046 482515 484220 622883 772024 803720 884092 965030 968440 1105115 1245766 1768184 1930060 2210230 2491532 3114415 3860120 4420460 4983064 6228830 6851713 8840920 12457660 13703426 24915320 27406852 34258565 54813704 68517130 137034260 274068520