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245517240 = 233519257419
BaseRepresentation
bin11101010001001…
…00101110111000
3122002222120100010
432220210232320
51000323022430
640210141520
76040601463
oct1650445670
9562876303
10245517240
11116651811
126a2818a0
133bb33197
14248702da
151684acb0
hexea24bb8

245517240 has 128 divisors (see below), whose sum is σ = 780192000. Its totient is φ = 61636608.

The previous prime is 245517211. The next prime is 245517263. The reversal of 245517240 is 42715542.

245517240 is digitally balanced in base 2, because in such base 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 245517198 and 245517207.

It is a congruent number.

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, 585751 + ... + 586169.

It is an arithmetic number, because the mean of its divisors is an integer number (6095250).

Almost surely, 2245517240 is an apocalyptic number.

245517240 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 245517240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096000).

245517240 is an abundant number, since it is smaller than the sum of its proper divisors (534674760).

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

245517240 is a wasteful number, since it uses less digits than its factorization.

245517240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 245517240 is about 15668.9897568414. The cubic root of 245517240 is about 626.1725104420.

The spelling of 245517240 in words is "two hundred forty-five million, five hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 257 285 380 419 456 514 570 760 771 838 1028 1140 1257 1285 1542 1676 2056 2095 2280 2514 2570 3084 3352 3855 4190 4883 5028 5140 6168 6285 7710 7961 8380 9766 10056 10280 12570 14649 15420 15922 16760 19532 23883 24415 25140 29298 30840 31844 39064 39805 47766 48830 50280 58596 63688 73245 79610 95532 97660 107683 117192 119415 146490 159220 191064 195320 215366 238830 292980 318440 323049 430732 477660 538415 585960 646098 861464 955320 1076830 1292196 1615245 2045977 2153660 2584392 3230490 4091954 4307320 6137931 6460980 8183908 10229885 12275862 12921960 16367816 20459770 24551724 30689655 40919540 49103448 61379310 81839080 122758620 245517240