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1025665380 = 2232531397463
BaseRepresentation
bin111101001000100…
…110100101100100
32122110222012101200
4331020212211210
54100032243010
6245435322500
734263004035
oct7510464544
92573865350
101025665380
11486a63643
122475b0430
131346551bc
149a30ca8c
15600a0cc0
hex3d226964

1025665380 has 144 divisors (see below), whose sum is σ = 3226589184. Its totient is φ = 263450880.

The previous prime is 1025665379. The next prime is 1025665387. The reversal of 1025665380 is 835665201.

1025665380 is a `hidden beast` number, since 10 + 2 + 566 + 5 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1025665387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2215029 + ... + 2215491.

Almost surely, 21025665380 is an apocalyptic number.

1025665380 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 1025665380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613294592).

1025665380 is an abundant number, since it is smaller than the sum of its proper divisors (2200923804).

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

1025665380 is a wasteful number, since it uses less digits than its factorization.

1025665380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1025665380 is about 32026.0109910679. The cubic root of 1025665380 is about 1008.4829625335.

The spelling of 1025665380 in words is "one billion, twenty-five million, six hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 397 463 465 558 620 794 926 930 1116 1191 1389 1395 1588 1852 1860 1985 2315 2382 2778 2790 3573 3970 4167 4630 4764 5556 5580 5955 6945 7146 7940 8334 9260 11910 12307 13890 14292 14353 16668 17865 20835 23820 24614 27780 28706 35730 36921 41670 43059 49228 57412 61535 71460 71765 73842 83340 86118 110763 123070 129177 143530 147684 172236 183811 184605 215295 221526 246140 258354 287060 367622 369210 430590 443052 516708 551433 553815 645885 735244 738420 861180 919055 1102866 1107630 1291770 1654299 1838110 2205732 2215260 2583540 2757165 3308598 3676220 5514330 5698141 6617196 8271495 11028660 11396282 16542990 17094423 22792564 28490705 33085980 34188846 51283269 56981410 68377692 85472115 102566538 113962820 170944230 205133076 256416345 341888460 512832690 1025665380