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3145240500 = 223533756671
BaseRepresentation
bin1011101101111000…
…1000111110110100
322010012022202211220
42323132020332310
522420140144000
61240033230340
7140641050243
oct27336107664
98105282756
103145240500
111374451816
127394023b0
133b1807c6c
1421ba1295a
151361d31a0
hexbb788fb4

3145240500 has 96 divisors (see below), whose sum is σ = 9406645248. Its totient is φ = 816048000.

The previous prime is 3145240477. The next prime is 3145240541. The reversal of 3145240500 is 50425413.

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, 27165 + ... + 83835.

It is an arithmetic number, because the mean of its divisors is an integer number (97985888).

Almost surely, 23145240500 is an apocalyptic number.

3145240500 is a gapful number since it is divisible by the number (30) 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 3145240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703322624).

3145240500 is an abundant number, since it is smaller than the sum of its proper divisors (6261404748).

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

3145240500 is a wasteful number, since it uses less digits than its factorization.

3145240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56730 (or 56718 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3145240500 is about 56082.4437769967. The cubic root of 3145240500 is about 1465.1585364276.

Adding to 3145240500 its reverse (50425413), we get a palindrome (3195665913).

The spelling of 3145240500 in words is "three billion, one hundred forty-five million, two hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 740 750 925 1110 1500 1850 2220 2775 3700 4625 5550 9250 11100 13875 18500 27750 55500 56671 113342 170013 226684 283355 340026 566710 680052 850065 1133420 1416775 1700130 2096827 2833550 3400260 4193654 4250325 5667100 6290481 7083875 8387308 8500650 10484135 12580962 14167750 17001300 20968270 21251625 25161924 28335500 31452405 41936540 42503250 52420675 62904810 85006500 104841350 125809620 157262025 209682700 262103375 314524050 524206750 629048100 786310125 1048413500 1572620250 3145240500