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1000540000 = 2554192633
BaseRepresentation
bin111011101000110…
…000011101100000
32120201200200212001
4323220300131200
54022114240000
6243141013344
733536310145
oct7350603540
92521620761
101000540000
11473862569
1223b0b4254
1312c398c05
1496c4c3cc
155cc8b46a
hex3ba30760

1000540000 has 120 divisors (see below), whose sum is σ = 2592014040. Its totient is φ = 379008000.

The previous prime is 1000539983. The next prime is 1000540003. The reversal of 1000540000 is 450001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000540003) 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, 378684 + ... + 381316.

It is an arithmetic number, because the mean of its divisors is an integer number (21600117).

Almost surely, 21000540000 is an apocalyptic number.

1000540000 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 1000540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296007020).

1000540000 is an abundant number, since it is smaller than the sum of its proper divisors (1591474040).

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

1000540000 is an equidigital number, since it uses as much as digits as its factorization.

1000540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1000540000 is about 31631.3135990272. The cubic root of 1000540000 is about 1000.1799676097.

Adding to 1000540000 its reverse (450001), we get a palindrome (1000990001).

It can be divided in two parts, 10005 and 40000, that added together give a palindrome (50005).

The spelling of 1000540000 in words is "one billion, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 2633 3040 3800 4000 4750 5000 5266 7600 9500 10000 10532 11875 13165 15200 19000 20000 21064 23750 26330 38000 42128 47500 50027 52660 65825 76000 84256 95000 100054 105320 131650 190000 200108 210640 250135 263300 329125 380000 400216 421280 500270 526600 658250 800432 1000540 1053200 1250675 1316500 1600864 1645625 2001080 2106400 2501350 2633000 3291250 4002160 5002700 5266000 6253375 6582500 8004320 10005400 10532000 12506750 13165000 20010800 25013500 26330000 31266875 40021600 50027000 52660000 62533750 100054000 125067500 200108000 250135000 500270000 1000540000