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283930740 = 223254179487
BaseRepresentation
bin10000111011000…
…111000001110100
3201210021011202100
4100323013001310
51040141240430
644101342100
710015241262
oct2073070164
9653234670
10283930740
111362a9405
127b107930
1346a92872
14299cd432
1519dd7960
hex10ec7074

283930740 has 144 divisors (see below), whose sum is σ = 895265280. Its totient is φ = 72783360.

The previous prime is 283930739. The next prime is 283930747. The reversal of 283930740 is 47039382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 283930695 and 283930704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283930747) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 582777 + ... + 583263.

It is an arithmetic number, because the mean of its divisors is an integer number (6217120).

Almost surely, 2283930740 is an apocalyptic number.

283930740 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 283930740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447632640).

283930740 is an abundant number, since it is smaller than the sum of its proper divisors (611334540).

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

283930740 is a wasteful number, since it uses less digits than its factorization.

283930740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 283930740 is about 16850.2445086117. The cubic root of 283930740 is about 657.2604070477.

The spelling of 283930740 in words is "two hundred eighty-three million, nine hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 79 82 90 123 158 164 180 205 237 246 316 369 395 410 474 487 492 615 711 738 790 820 948 974 1185 1230 1422 1461 1476 1580 1845 1948 2370 2435 2460 2844 2922 3239 3555 3690 4383 4740 4870 5844 6478 7110 7305 7380 8766 9717 9740 12956 14220 14610 16195 17532 19434 19967 21915 29151 29220 32390 38473 38868 39934 43830 48585 58302 59901 64780 76946 79868 87660 97170 99835 115419 116604 119802 145755 153892 179703 192365 194340 199670 230838 239604 291510 299505 346257 359406 384730 399340 461676 577095 583020 599010 692514 718812 769460 898515 1154190 1198020 1385028 1577393 1731285 1797030 2308380 3154786 3462570 3594060 4732179 6309572 6925140 7886965 9464358 14196537 15773930 18928716 23660895 28393074 31547860 47321790 56786148 70982685 94643580 141965370 283930740