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245074830 = 235711138161
BaseRepresentation
bin11101001101110…
…00101110001110
3122002011002110120
432212320232032
51000214343310
640152445410
76034046610
oct1646705616
9562132416
10245074830
1111637a390
126a0a9866
133ba099c0
1424796db0
15167aeb70
hexe9b8b8e

245074830 has 128 divisors (see below), whose sum is σ = 789820416. Its totient is φ = 47001600.

The previous prime is 245074793. The next prime is 245074861. The reversal of 245074830 is 38470542.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 245074791 and 245074800.

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, 25950 + ... + 34110.

It is an arithmetic number, because the mean of its divisors is an integer number (6170472).

Almost surely, 2245074830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245074830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394910208).

245074830 is an abundant number, since it is smaller than the sum of its proper divisors (544745586).

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

245074830 is a wasteful number, since it uses less digits than its factorization.

245074830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 245074830 is about 15654.8660166735. The cubic root of 245074830 is about 625.7961736081.

The spelling of 245074830 in words is "two hundred forty-five million, seventy-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 8161 10010 15015 16322 24483 30030 40805 48966 57127 81610 89771 106093 114254 122415 171381 179542 212186 244830 269313 285635 318279 342762 448855 530465 538626 571270 628397 636558 742651 856905 897710 1060930 1167023 1256794 1346565 1485302 1591395 1713810 1885191 2227953 2334046 2693130 3141985 3182790 3501069 3713255 3770382 4455906 5835115 6283970 7002138 7426510 8169161 9425955 11139765 11670230 16338322 17505345 18851910 22279530 24507483 35010690 40845805 49014966 81691610 122537415 245074830