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245114640 = 24335373067
BaseRepresentation
bin11101001110000…
…10011100010000
3122002020010002000
432213002130100
51000222132030
640153354000
76034303641
oct1647023420
9562203060
10245114640
111163a7291
126a108900
133ba21b64
14247a76c8
15167bb860
hexe9c2710

245114640 has 160 divisors (see below), whose sum is σ = 867384960. Its totient is φ = 63576576.

The previous prime is 245114629. The next prime is 245114647. The reversal of 245114640 is 46411542.

245114640 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 14 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245114647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78387 + ... + 81453.

It is an arithmetic number, because the mean of its divisors is an integer number (5421156).

Almost surely, 2245114640 is an apocalyptic number.

245114640 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 245114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433692480).

245114640 is an abundant number, since it is smaller than the sum of its proper divisors (622270320).

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

245114640 is a wasteful number, since it uses less digits than its factorization.

245114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 245114640 is about 15656.1374546853. The cubic root of 245114640 is about 625.8300565883.

The spelling of 245114640 in words is "two hundred forty-five million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3067 3330 3996 4440 4995 5328 6134 6660 7992 8880 9201 9990 12268 13320 15335 15984 18402 19980 24536 26640 27603 30670 36804 39960 46005 49072 55206 61340 73608 79920 82809 92010 110412 113479 122680 138015 147216 165618 184020 220824 226958 245360 276030 331236 340437 368040 414045 441648 453916 552060 567395 662472 680874 736080 828090 907832 1021311 1104120 1134790 1324944 1361748 1656180 1702185 1815664 2042622 2208240 2269580 2723496 3063933 3312360 3404370 4085244 4539160 5106555 5446992 6127866 6624720 6808740 8170488 9078320 10213110 12255732 13617480 15319665 16340976 20426220 24511464 27234960 30639330 40852440 49022928 61278660 81704880 122557320 245114640