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249270140 = 22574347881
BaseRepresentation
bin11101101101110…
…00111101111100
3122101001020100102
432312320331330
51002303121030
640422420232
76114522050
oct1666707574
9571036312
10249270140
11118785389
126b591678
133c848432
1425169c60
1516d3cc45
hexedb8f7c

249270140 has 96 divisors (see below), whose sum is σ = 625895424. Its totient is φ = 81607680.

The previous prime is 249270061. The next prime is 249270169. The reversal of 249270140 is 41072942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282500 + ... + 283380.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2249270140 is an apocalyptic number.

249270140 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 249270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

249270140 is an abundant number, since it is smaller than the sum of its proper divisors (376625284).

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

249270140 is a wasteful number, since it uses less digits than its factorization.

249270140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 249270140 is about 15788.2912311624. The cubic root of 249270140 is about 629.3468834113.

The spelling of 249270140 in words is "two hundred forty-nine million, two hundred seventy thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 47 70 86 94 140 172 188 215 235 301 329 430 470 602 658 860 881 940 1204 1316 1505 1645 1762 2021 3010 3290 3524 4042 4405 6020 6167 6580 8084 8810 10105 12334 14147 17620 20210 24668 28294 30835 37883 40420 41407 56588 61670 70735 75766 82814 123340 141470 151532 165628 189415 207035 265181 282940 289849 378830 414070 530362 579698 757660 828140 1060724 1159396 1325905 1449245 1780501 2651810 2898490 3561002 5303620 5796980 7122004 8902505 12463507 17805010 24927014 35610020 49854028 62317535 124635070 249270140