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2025081840 = 2435411311571
BaseRepresentation
bin111100010110100…
…0100101111110000
312020010112211001010
41320231010233300
513121410104330
6532540310520
7101116624455
oct17055045760
95203484033
102025081840
1194a118a61
12486242440
132637198a2
14152d4782c
15bcbb93b0
hex78b44bf0

2025081840 has 160 divisors (see below), whose sum is σ = 6484084992. Its totient is φ = 522496000.

The previous prime is 2025081833. The next prime is 2025081841. The reversal of 2025081840 is 481805202.

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 = 2025081798 and 2025081807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025081841) 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, 1288255 + ... + 1289825.

Almost surely, 22025081840 is an apocalyptic number.

2025081840 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 2025081840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242042496).

2025081840 is an abundant number, since it is smaller than the sum of its proper divisors (4459003152).

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

2025081840 is a wasteful number, since it uses less digits than its factorization.

2025081840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2025081840 is about 45000.9093241459. The cubic root of 2025081840 is about 1265.1660413105.

The spelling of 2025081840 in words is "two billion, twenty-five million, eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 131 164 205 240 246 262 328 393 410 492 524 615 655 656 786 820 984 1048 1230 1310 1571 1572 1640 1965 1968 2096 2460 2620 3142 3144 3280 3930 4713 4920 5240 5371 6284 6288 7855 7860 9426 9840 10480 10742 12568 15710 15720 16113 18852 21484 23565 25136 26855 31420 31440 32226 37704 42968 47130 53710 62840 64411 64452 75408 80565 85936 94260 107420 125680 128822 128904 161130 188520 193233 205801 214840 257644 257808 322055 322260 377040 386466 411602 429680 515288 617403 644110 644520 772932 823204 966165 1029005 1030576 1234806 1288220 1289040 1545864 1646408 1932330 2058010 2469612 2576440 3087015 3091728 3292816 3864660 4116020 4939224 5152880 6174030 7729320 8232040 8437841 9878448 12348060 15458640 16464080 16875682 24696120 25313523 33751364 42189205 49392240 50627046 67502728 84378410 101254092 126567615 135005456 168756820 202508184 253135230 337513640 405016368 506270460 675027280 1012540920 2025081840