Search a number
-
+
20030402000 = 245373146153
BaseRepresentation
bin10010101001111001…
…111010110111010000
31220200221201211221202
4102221321322313100
5312010240331000
613111333010332
71306241415320
oct225171726720
956627654852
1020030402000
118549704544
123a701839a8
131b72a9089b
14d8035b280
157c3773dd5
hex4a9e7add0

20030402000 has 160 divisors (see below), whose sum is σ = 57139390464. Its totient is φ = 6645888000.

The previous prime is 20030401981. The next prime is 20030402003. The reversal of 20030402000 is 20403002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030402003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410924 + ... + 457076.

Almost surely, 220030402000 is an apocalyptic number.

20030402000 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 20030402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569695232).

20030402000 is an abundant number, since it is smaller than the sum of its proper divisors (37108988464).

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

20030402000 is a wasteful number, since it uses less digits than its factorization.

20030402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46214 (or 46198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 20030402000 its reverse (20403002), we get a palindrome (20050805002).

The spelling of 20030402000 in words is "twenty billion, thirty million, four hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5425 6200 7000 7750 8680 10850 12400 14000 15500 17360 21700 27125 31000 43400 46153 54250 62000 86800 92306 108500 184612 217000 230765 323071 369224 434000 461530 646142 738448 923060 1153825 1292284 1430743 1615355 1846120 2307650 2584568 2861486 3230710 3692240 4615300 5169136 5722972 5769125 6461420 7153715 8076775 9230600 10015201 11445944 11538250 12922840 14307430 16153550 18461200 20030402 22891888 23076500 25845680 28614860 32307100 35768575 40060804 40383875 46153000 50076005 57229720 64614200 71537150 80121608 80767750 92306000 100152010 114459440 129228400 143074300 160243216 161535500 178842875 200304020 250380025 286148600 323071000 357685750 400608040 500760050 572297200 646142000 715371500 801216080 1001520100 1251900125 1430743000 2003040200 2503800250 2861486000 4006080400 5007600500 10015201000 20030402000