Search a number
-
+
1023402000 = 24353281607
BaseRepresentation
bin111100111111111…
…110000000010000
32122022201012121210
4330333332000100
54043442331000
6245315020120
734234526205
oct7477760020
92568635553
101023402000
11485758085
1224689a640
13134041c1a
1499cbdcac
155eca5350
hex3cffe010

1023402000 has 160 divisors (see below), whose sum is σ = 3316644864. Its totient is φ = 271488000.

The previous prime is 1023401983. The next prime is 1023402001. The reversal of 1023402000 is 2043201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1023402001) 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, 1685697 + ... + 1686303.

Almost surely, 21023402000 is an apocalyptic number.

1023402000 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 1023402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658322432).

1023402000 is an abundant number, since it is smaller than the sum of its proper divisors (2293242864).

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

1023402000 is a wasteful number, since it uses less digits than its factorization.

1023402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1023402000 is about 31990.6548854505. The cubic root of 1023402000 is about 1007.7405952545.

Adding to 1023402000 its reverse (2043201), we get a palindrome (1025445201).

The spelling of 1023402000 in words is "one billion, twenty-three million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 281 300 375 400 500 562 600 607 750 843 1000 1124 1200 1214 1405 1500 1686 1821 2000 2248 2428 2810 3000 3035 3372 3642 4215 4496 4856 5620 6000 6070 6744 7025 7284 8430 9105 9712 11240 12140 13488 14050 14568 15175 16860 18210 21075 22480 24280 28100 29136 30350 33720 35125 36420 42150 45525 48560 56200 60700 67440 70250 72840 75875 84300 91050 105375 112400 121400 140500 145680 151750 168600 170567 182100 210750 227625 242800 281000 303500 337200 341134 364200 421500 455250 511701 562000 607000 682268 728400 843000 852835 910500 1023402 1214000 1364536 1686000 1705670 1821000 2046804 2558505 2729072 3411340 3642000 4093608 4264175 5117010 6822680 8187216 8528350 10234020 12792525 13645360 17056700 20468040 21320875 25585050 34113400 40936080 42641750 51170100 63962625 68226800 85283500 102340200 127925250 170567000 204680400 255850500 341134000 511701000 1023402000