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1428453840 = 2435111992719
BaseRepresentation
bin101010100100100…
…0111100111010000
310200112212222021210
41111021013213100
510411141010330
6353424420120
750253441312
oct12511074720
93615788253
101428453840
11673363570
1233a477640
13199c31a78
14d79db7b2
15856158b0
hex552479d0

1428453840 has 160 divisors (see below), whose sum is σ = 4856832000. Its totient is φ = 344424960.

The previous prime is 1428453833. The next prime is 1428453863. The reversal of 1428453840 is 483548241.

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, 524001 + ... + 526719.

It is an arithmetic number, because the mean of its divisors is an integer number (30355200).

Almost surely, 21428453840 is an apocalyptic number.

1428453840 is a gapful number since it is divisible by the number (10) 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 1428453840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428416000).

1428453840 is an abundant number, since it is smaller than the sum of its proper divisors (3428378160).

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

1428453840 is a wasteful number, since it uses less digits than its factorization.

1428453840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 1428453840 is about 37794.8917183262. The cubic root of 1428453840 is about 1126.2169783572.

The spelling of 1428453840 in words is "one billion, four hundred twenty-eight million, four hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 199 220 240 264 330 398 440 528 597 660 796 880 995 1194 1320 1592 1990 2189 2388 2640 2719 2985 3184 3980 4378 4776 5438 5970 6567 7960 8157 8756 9552 10876 10945 11940 13134 13595 15920 16314 17512 21752 21890 23880 26268 27190 29909 32628 32835 35024 40785 43504 43780 47760 52536 54380 59818 65256 65670 81570 87560 89727 105072 108760 119636 130512 131340 149545 163140 175120 179454 217520 239272 262680 299090 326280 358908 448635 478544 525360 541081 598180 652560 717816 897270 1082162 1196360 1435632 1623243 1794540 2164324 2392720 2705405 3246486 3589080 4328648 5410810 5951891 6492972 7178160 8116215 8657296 10821620 11903782 12985944 16232430 17855673 21643240 23807564 25971888 29759455 32464860 35711346 43286480 47615128 59518910 64929720 71422692 89278365 95230256 119037820 129859440 142845384 178556730 238075640 285690768 357113460 476151280 714226920 1428453840