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10325500440 = 23351792691787
BaseRepresentation
bin10011001110111001…
…01010001000011000
3222122121020202210020
421213130222020120
5132121312003230
64424331150440
7513606206553
oct114734521030
928577222706
1010325500440
114419526342
122001ba5420
13c87276198
146dd49369a
15406757810
hex26772a218

10325500440 has 128 divisors (see below), whose sum is σ = 31282848000. Its totient is φ = 2726379008.

The previous prime is 10325500417. The next prime is 10325500441. The reversal of 10325500440 is 4400552301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10325500440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325500441) 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, 5777227 + ... + 5779013.

It is an arithmetic number, because the mean of its divisors is an integer number (244397250).

Almost surely, 210325500440 is an apocalyptic number.

10325500440 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 10325500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641424000).

10325500440 is an abundant number, since it is smaller than the sum of its proper divisors (20957347560).

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

10325500440 is a wasteful number, since it uses less digits than its factorization.

10325500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 10325500440 in words is "ten billion, three hundred twenty-five million, five hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 269 358 537 538 716 807 895 1074 1076 1345 1432 1614 1787 1790 2148 2152 2685 2690 3228 3574 3580 4035 4296 5361 5370 5380 6456 7148 7160 8070 8935 10722 10740 10760 14296 16140 17870 21444 21480 26805 32280 35740 42888 48151 53610 71480 96302 107220 144453 192604 214440 240755 288906 319873 385208 480703 481510 577812 639746 722265 959619 961406 963020 1155624 1279492 1442109 1444530 1599365 1919238 1922812 1926040 2403515 2558984 2884218 2889060 3198730 3838476 3845624 4798095 4807030 5768436 5778120 6397460 7210545 7676952 9596190 9614060 11536872 12794920 14421090 19192380 19228120 28842180 38384760 57684360 86045837 172091674 258137511 344183348 430229185 516275022 688366696 860458370 1032550044 1290687555 1720916740 2065100088 2581375110 3441833480 5162750220 10325500440