[go: up one dir, main page]

Search a number
-
+
30557010 = 235112931103
BaseRepresentation
bin111010010010…
…0001101010010
32010111110100010
41310210031102
530310311020
63010535350
7520505331
oct164441522
963443303
1030557010
1116280a30
12a297556
13643b693
1440b5d18
152a38de0
hex1d24352

30557010 has 128 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 6854400.

The previous prime is 30556943. The next prime is 30557011. The reversal of 30557010 is 1075503.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30557011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296619 + ... + 296721.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 230557010 is an apocalyptic number.

30557010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30557010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

30557010 is an abundant number, since it is smaller than the sum of its proper divisors (55704750).

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

30557010 is a wasteful number, since it uses less digits than its factorization.

30557010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 30557010 is about 5527.8395418102. The cubic root of 30557010 is about 312.6345362051.

It can be divided in two parts, 30 and 557010, that added together give a triangular number (557040 = T1055).

The spelling of 30557010 in words is "thirty million, five hundred fifty-seven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 31 33 55 58 62 66 87 93 103 110 145 155 165 174 186 206 290 309 310 319 330 341 435 465 515 618 638 682 870 899 930 957 1023 1030 1133 1545 1595 1705 1798 1914 2046 2266 2697 2987 3090 3190 3193 3399 3410 4495 4785 5115 5394 5665 5974 6386 6798 8961 8990 9570 9579 9889 10230 11330 13485 14935 15965 16995 17922 19158 19778 26970 29667 29870 31930 32857 33990 35123 44805 47895 49445 59334 65714 70246 89610 92597 95790 98571 98890 105369 148335 164285 175615 185194 197142 210738 277791 296670 328570 351230 462985 492855 526845 555582 925970 985710 1018567 1053690 1388955 2037134 2777910 3055701 5092835 6111402 10185670 15278505 30557010