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3140053000 = 235371726387
BaseRepresentation
bin1011101100101001…
…0110100000001000
322002211120012221021
42323022112200020
522412323144000
61235330122224
7140546003320
oct27312264010
98084505837
103140053000
111371529327
12737720374
133b070ca36
1421b062280
15135a0b11a
hexbb296808

3140053000 has 128 divisors (see below), whose sum is σ = 8891700480. Its totient is φ = 1013222400.

The previous prime is 3140052991. The next prime is 3140053009. The reversal of 3140053000 is 3500413.

It is an interprime number because it is at equal distance from previous prime (3140052991) and next prime (3140053009).

It is not an unprimeable number, because it can be changed into a prime (3140053009) 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 31 ways as a sum of consecutive naturals, for example, 105807 + ... + 132193.

It is an arithmetic number, because the mean of its divisors is an integer number (69466410).

Almost surely, 23140053000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445850240).

3140053000 is an abundant number, since it is smaller than the sum of its proper divisors (5751647480).

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

3140053000 is a wasteful number, since it uses less digits than its factorization.

3140053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432 (or 26418 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3140053000 is about 56036.1758152713. The cubic root of 3140053000 is about 1464.3525893369.

Adding to 3140053000 its reverse (3500413), we get a palindrome (3143553413).

The spelling of 3140053000 in words is "three billion, one hundred forty million, fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 26387 29750 52774 59500 105548 119000 131935 184709 211096 263870 369418 448579 527740 659675 738836 897158 923545 1055480 1319350 1477672 1794316 1847090 2242895 2638700 3140053 3298375 3588632 3694180 4485790 4617725 5277400 6280106 6596750 7388360 8971580 9235450 11214475 12560212 13193500 15700265 17943160 18470900 22428950 23088625 25120424 26387000 31400530 36941800 44857900 46177250 56072375 62801060 78501325 89715800 92354500 112144750 125602120 157002650 184709000 224289500 314005300 392506625 448579000 628010600 785013250 1570026500 3140053000