Search a number
-
+
6270046900 = 22521317872699
BaseRepresentation
bin1011101011011100…
…10101001010110100
3121011222012101101021
411311232111022310
5100320113000100
62514100510524
7311243343055
oct56556251264
917158171337
106270046900
112728307047
12126b9ab444
1378c00a030
14436a2672c
1526a6cba1a
hex175b952b4

6270046900 has 72 divisors (see below), whose sum is σ = 14666248800. Its totient is φ = 2312941440.

The previous prime is 6270046841. The next prime is 6270046901. The reversal of 6270046900 is 96400726.

It is a super-2 number, since 2×62700469002 = 78626976256399220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6270046901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321751 + ... + 2324449.

It is an arithmetic number, because the mean of its divisors is an integer number (203697900).

Almost surely, 26270046900 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 6270046900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333124400).

6270046900 is an abundant number, since it is smaller than the sum of its proper divisors (8396201900).

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

6270046900 is a wasteful number, since it uses less digits than its factorization.

6270046900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 6270046900 is about 79183.6277269487. The cubic root of 6270046900 is about 1843.9830717136.

The spelling of 6270046900 in words is "six billion, two hundred seventy million, forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1787 2699 3574 5398 7148 8935 10796 13495 17870 23231 26990 35087 35740 44675 46462 53980 67475 70174 89350 92924 116155 134950 140348 175435 178700 232310 269900 350870 464620 580775 701740 877175 1161550 1754350 2323100 3508700 4823113 9646226 19292452 24115565 48231130 62700469 96462260 120577825 125400938 241155650 250801876 313502345 482311300 627004690 1254009380 1567511725 3135023450 6270046900