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2025662040 = 233354634051
BaseRepresentation
bin111100010111101…
…0010011001011000
312020011122021221000
41320233102121120
513122032141130
6533000545000
7101124562143
oct17057223130
95204567830
102025662040
1194a484966
12486482160
132638909bc
1415305905a
15bcc81260
hex78bd2658

2025662040 has 128 divisors (see below), whose sum is σ = 6768460800. Its totient is φ = 538876800.

The previous prime is 2025662033. The next prime is 2025662053. The reversal of 2025662040 is 402665202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2025661995 and 2025662013.

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, 498015 + ... + 502065.

It is an arithmetic number, because the mean of its divisors is an integer number (52878600).

Almost surely, 22025662040 is an apocalyptic number.

2025662040 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 2025662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384230400).

2025662040 is an abundant number, since it is smaller than the sum of its proper divisors (4742798760).

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

2025662040 is a wasteful number, since it uses less digits than its factorization.

2025662040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2025662040 is about 45007.3553988679. The cubic root of 2025662040 is about 1265.2868560566.

The spelling of 2025662040 in words is "two billion, twenty-five million, six hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 463 540 926 1080 1389 1852 2315 2778 3704 4051 4167 4630 5556 6945 8102 8334 9260 11112 12153 12501 13890 16204 16668 18520 20255 20835 24306 25002 27780 32408 33336 36459 40510 41670 48612 50004 55560 60765 62505 72918 81020 83340 97224 100008 109377 121530 125010 145836 162040 166680 182295 218754 243060 250020 291672 364590 437508 486120 500040 546885 729180 875016 1093770 1458360 1875613 2187540 3751226 4375080 5626839 7502452 9378065 11253678 15004904 16880517 18756130 22507356 28134195 33761034 37512260 45014712 50641551 56268390 67522068 75024520 84402585 101283102 112536780 135044136 168805170 202566204 225073560 253207755 337610340 405132408 506415510 675220680 1012831020 2025662040