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245999680 = 2653779263
BaseRepresentation
bin11101010100110…
…10100001000000
3122010220002010021
432222122201000
51000433442210
640224343224
76044651143
oct1652324100
9563802107
10245999680
11116951223
126a474b14
133bc71954
142495805a
15168e3bda
hexea9a840

245999680 has 112 divisors (see below), whose sum is σ = 611550720. Its totient is φ = 94169088.

The previous prime is 245999657. The next prime is 245999681. The reversal of 245999680 is 86999542.

It is not an unprimeable number, because it can be changed into a prime (245999681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935229 + ... + 935491.

Almost surely, 2245999680 is an apocalyptic number.

245999680 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 245999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305775360).

245999680 is an abundant number, since it is smaller than the sum of its proper divisors (365551040).

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

245999680 is a wasteful number, since it uses less digits than its factorization.

245999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 245999680 is about 15684.3769401274. The cubic root of 245999680 is about 626.5823839168.

The spelling of 245999680 in words is "two hundred forty-five million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 79 80 148 158 160 185 263 296 316 320 370 395 526 592 632 740 790 1052 1184 1264 1315 1480 1580 2104 2368 2528 2630 2923 2960 3160 4208 5056 5260 5846 5920 6320 8416 9731 10520 11692 11840 12640 14615 16832 19462 20777 21040 23384 25280 29230 38924 41554 42080 46768 48655 58460 77848 83108 84160 93536 97310 103885 116920 155696 166216 187072 194620 207770 233840 311392 332432 389240 415540 467680 622784 664864 768749 778480 831080 935360 1329728 1537498 1556960 1662160 3074996 3113920 3324320 3843745 6149992 6648640 7687490 12299984 15374980 24599968 30749960 49199936 61499920 122999840 245999680