Search a number
-
+
514455030 = 233523372239
BaseRepresentation
bin11110101010011…
…111010111110110
31022212001000122000
4132222133113312
52023200030110
6123014320130
715514536615
oct3652372766
91285030560
10514455030
1124443a751
12124359046
138277667b
144c47987c
15302711c0
hex1ea9f5f6

514455030 has 128 divisors (see below), whose sum is σ = 1470873600. Its totient is φ = 127619712.

The previous prime is 514454981. The next prime is 514455061. The reversal of 514455030 is 30554415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 514454985 and 514455003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228651 + ... + 230889.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2514455030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514455030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735436800).

514455030 is an abundant number, since it is smaller than the sum of its proper divisors (956418570).

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

514455030 is a wasteful number, since it uses less digits than its factorization.

514455030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 514455030 is about 22681.6011339588. The cubic root of 514455030 is about 801.2766231663.

The spelling of 514455030 in words is "five hundred fourteen million, four hundred fifty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 230 270 333 345 370 414 555 621 666 690 851 999 1035 1110 1242 1665 1702 1998 2070 2239 2553 3105 3330 4255 4478 4995 5106 6210 6717 7659 8510 9990 11195 12765 13434 15318 20151 22390 22977 25530 33585 38295 40302 45954 51497 60453 67170 76590 82843 100755 102994 114885 120906 154491 165686 201510 229770 248529 257485 302265 308982 414215 463473 497058 514970 604530 745587 772455 828430 926946 1242645 1390419 1491174 1544910 1905389 2236761 2317365 2485290 2780838 3727935 3810778 4473522 4634730 5716167 6952095 7455870 9526945 11183805 11432334 13904190 17148501 19053890 22367610 28580835 34297002 51445503 57161670 85742505 102891006 171485010 257227515 514455030