Search a number
-
+
410149530 = 232573121001
BaseRepresentation
bin11000011100100…
…110001010011010
31001120202202101100
4120130212022122
51314444241110
6104410532230
713110133140
oct3034461232
91046682340
10410149530
111a057845a
12b5437076
1366c8623b
143c687590
152601abc0
hex1872629a

410149530 has 96 divisors (see below), whose sum is σ = 1258103808. Its totient is φ = 90720000.

The previous prime is 410149529. The next prime is 410149577. The reversal of 410149530 is 35941014.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 410149494 and 410149503.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9030 + ... + 30030.

It is an arithmetic number, because the mean of its divisors is an integer number (13105248).

Almost surely, 2410149530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410149530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629051904).

410149530 is an abundant number, since it is smaller than the sum of its proper divisors (847954278).

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

410149530 is a wasteful number, since it uses less digits than its factorization.

410149530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21052 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 410149530 is about 20252.1487748831. The cubic root of 410149530 is about 742.9861863558.

The spelling of 410149530 in words is "four hundred ten million, one hundred forty-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 21001 42002 63003 105005 126006 147007 189009 210010 294014 315015 378018 441021 630030 651031 735035 882042 945045 1302062 1323063 1470070 1890090 1953093 2205105 2646126 3255155 3906186 4410210 4557217 5859279 6510310 6615315 9114434 9765465 11718558 13230630 13671651 19530930 22786085 27343302 29296395 41014953 45572170 58592790 68358255 82029906 136716510 205074765 410149530