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2151004000 = 25531812971
BaseRepresentation
bin1000000000110101…
…1011011101100000
312112220111022202211
42000031123131200
513401124112000
6553235251504
7104206142455
oct20015333540
95486438684
102151004000
11a04205162
12500449b94
13283838242
1416596582c
15c8c8e7ba
hex8035b760

2151004000 has 96 divisors (see below), whose sum is σ = 5316004512. Its totient is φ = 855360000.

The previous prime is 2151003997. The next prime is 2151004027. The reversal of 2151004000 is 4001512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722515 + ... + 725485.

It is an arithmetic number, because the mean of its divisors is an integer number (55375047).

Almost surely, 22151004000 is an apocalyptic number.

2151004000 is a gapful number since it is divisible by the number (20) 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 2151004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658002256).

2151004000 is an abundant number, since it is smaller than the sum of its proper divisors (3165000512).

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

2151004000 is a wasteful number, since it uses less digits than its factorization.

2151004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2151004000 is about 46378.9176242827. The cubic root of 2151004000 is about 1290.8637525931.

Adding to 2151004000 its reverse (4001512), we get a palindrome (2155005512).

The spelling of 2151004000 in words is "two billion, one hundred fifty-one million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 724 800 905 1000 1448 1810 2000 2896 2971 3620 4000 4525 5792 5942 7240 9050 11884 14480 14855 18100 22625 23768 28960 29710 36200 45250 47536 59420 72400 74275 90500 95072 118840 144800 148550 181000 237680 297100 362000 371375 475360 537751 594200 724000 742750 1075502 1188400 1485500 2151004 2376800 2688755 2971000 4302008 5377510 5942000 8604016 10755020 11884000 13443775 17208032 21510040 26887550 43020080 53775100 67218875 86040160 107550200 134437750 215100400 268875500 430200800 537751000 1075502000 2151004000