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1025981240 = 2352371113139
BaseRepresentation
bin111101001001110…
…011101100111000
32122111120020200012
4331021303230320
54100122344430
6245450201052
734265460644
oct7511635470
92574506605
101025981240
11487159989
12247723188
13134735bbb
149a391c24
1560114695
hex3d273b38

1025981240 has 128 divisors (see below), whose sum is σ = 2482099200. Its totient is φ = 380835840.

The previous prime is 1025981237. The next prime is 1025981269. The reversal of 1025981240 is 421895201.

It is a junction number, because it is equal to n+sod(n) for n = 1025981197 and 1025981206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7381091 + ... + 7381229.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 21025981240 is an apocalyptic number.

1025981240 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 1025981240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

1025981240 is an abundant number, since it is smaller than the sum of its proper divisors (1456117960).

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

1025981240 is a wasteful number, since it uses less digits than its factorization.

1025981240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1025981240 is about 32030.9419155916. The cubic root of 1025981240 is about 1008.5864747645.

The spelling of 1025981240 in words is "one billion, twenty-five million, nine hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 113 115 139 142 184 226 230 278 284 355 452 460 556 565 568 695 710 904 920 1112 1130 1390 1420 1633 2260 2599 2780 2840 3197 3266 4520 5198 5560 6394 6532 8023 8165 9869 10396 12788 12995 13064 15707 15985 16046 16330 19738 20792 25576 25990 31414 31970 32092 32660 39476 40115 49345 51980 62828 63940 64184 65320 78535 78952 80230 98690 103960 125656 127880 157070 160460 184529 197380 226987 314140 320920 361261 369058 394760 453974 628280 722522 738116 907948 922645 1115197 1134935 1445044 1476232 1806305 1815896 1845290 2230394 2269870 2890088 3612610 3690580 4460788 4539740 5575985 7225220 7381160 8921576 9079480 11151970 14450440 22303940 25649531 44607880 51299062 102598124 128247655 205196248 256495310 512990620 1025981240