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10320540000 = 25354172009
BaseRepresentation
bin10011001110010011…
…01111000101100000
3222122020220202100020
421213021233011200
5132114024240000
64424032553440
7513516066621
oct114711570540
928566822306
1010320540000
114416748501
1220003b2880
13c8622a404
146dc961a48
154060c7ba0
hex26726f160

10320540000 has 120 divisors (see below), whose sum is σ = 33853632120. Its totient is φ = 2752128000.

The previous prime is 10320539989. The next prime is 10320540007. The reversal of 10320540000 is 4502301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320540007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26005 + ... + 146004.

It is an arithmetic number, because the mean of its divisors is an integer number (282113601).

Almost surely, 210320540000 is an apocalyptic number.

10320540000 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 10320540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926816060).

10320540000 is an abundant number, since it is smaller than the sum of its proper divisors (23533092120).

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

10320540000 is an equidigital number, since it uses as much as digits as its factorization.

10320540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172042 (or 172019 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The spelling of 10320540000 in words is "ten billion, three hundred twenty million, five hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 172009 344018 516027 688036 860045 1032054 1376072 1720090 2064108 2580135 2752144 3440180 4128216 4300225 5160270 5504288 6880360 8256432 8600450 10320540 12900675 13760720 16512864 17200900 20641080 21501125 25801350 27521440 34401800 41282160 43002250 51602700 64503375 68803600 82564320 86004500 103205400 107505625 129006750 137607200 172009000 206410800 215011250 258013500 322516875 344018000 412821600 430022500 516027000 645033750 688036000 860045000 1032054000 1290067500 1720090000 2064108000 2580135000 3440180000 5160270000 10320540000