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245241640 = 235723113337
BaseRepresentation
bin11101001111000…
…01011100101000
3122002110120021201
432213201130220
51000240213030
640200213544
76035343130
oct1647413450
9562416251
10245241640
11116483746
126a16a2b4
133ba678c7
14247dbac0
15167e42ca
hexe9e1728

245241640 has 128 divisors (see below), whose sum is σ = 665832960. Its totient is φ = 79478784.

The previous prime is 245241637. The next prime is 245241697. The reversal of 245241640 is 46142542.

245241640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 245241599 and 245241608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727552 + ... + 727888.

It is an arithmetic number, because the mean of its divisors is an integer number (5201820).

Almost surely, 2245241640 is an apocalyptic number.

245241640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332916480).

245241640 is an abundant number, since it is smaller than the sum of its proper divisors (420591320).

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

245241640 is a wasteful number, since it uses less digits than its factorization.

245241640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 245241640 is about 15660.1928468330. The cubic root of 245241640 is about 625.9381239729.

The spelling of 245241640 in words is "two hundred forty-five million, two hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 113 115 140 161 184 226 230 280 322 337 452 460 565 644 674 791 805 904 920 1130 1288 1348 1582 1610 1685 2260 2359 2599 2696 3164 3220 3370 3955 4520 4718 5198 6328 6440 6740 7751 7910 9436 10396 11795 12995 13480 15502 15820 18193 18872 20792 23590 25990 31004 31640 36386 38081 38755 47180 51980 54257 62008 72772 76162 77510 90965 94360 103960 108514 145544 152324 155020 181930 190405 217028 266567 271285 304648 310040 363860 380810 434056 533134 542570 727720 761620 875863 1066268 1085140 1332835 1523240 1751726 2132536 2170280 2665670 3503452 4379315 5331340 6131041 7006904 8758630 10662680 12262082 17517260 24524164 30655205 35034520 49048328 61310410 122620820 245241640