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245104640 = 21851117
BaseRepresentation
bin11101001110000…
…00000000000000
3122002012121100122
432213000000000
51000221322030
640153235412
76034232534
oct1647000000
9562177318
10245104640
1111639a820
126a102b68
133ba1a441
14247a3bc4
15167b88e5
hexe9c0000

245104640 has 152 divisors (see below), whose sum is σ = 679475952. Its totient is φ = 83886080.

The previous prime is 245104633. The next prime is 245104663. The reversal of 245104640 is 46401542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14417912 + ... + 14417928.

Almost surely, 2245104640 is an apocalyptic number.

245104640 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 245104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339737976).

245104640 is an abundant number, since it is smaller than the sum of its proper divisors (434371312).

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

245104640 is an frugal number, since it uses more digits than its factorization.

245104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 245104640 is about 15655.8180878548. The cubic root of 245104640 is about 625.8215457603.

The spelling of 245104640 in words is "two hundred forty-five million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 256 272 320 340 352 374 440 512 544 640 680 704 748 880 935 1024 1088 1280 1360 1408 1496 1760 1870 2048 2176 2560 2720 2816 2992 3520 3740 4096 4352 5120 5440 5632 5984 7040 7480 8192 8704 10240 10880 11264 11968 14080 14960 16384 17408 20480 21760 22528 23936 28160 29920 32768 34816 40960 43520 45056 47872 56320 59840 65536 69632 81920 87040 90112 95744 112640 119680 131072 139264 163840 174080 180224 191488 225280 239360 262144 278528 327680 348160 360448 382976 450560 478720 557056 655360 696320 720896 765952 901120 957440 1114112 1310720 1392640 1441792 1531904 1802240 1914880 2228224 2785280 2883584 3063808 3604480 3829760 4456448 5570560 6127616 7208960 7659520 11141120 12255232 14417920 15319040 22282240 24510464 30638080 49020928 61276160 122552320 245104640