Search a number
-
+
1030230000 = 24325411447
BaseRepresentation
bin111101011010000…
…000111111110000
32122210120002212200
4331122000333300
54102214330000
6250121223200
734346545002
oct7532007760
92583502780
101030230000
114895a1058
12249031b00
13135592a67
149ab7a372
15606a3500
hex3d680ff0

1030230000 has 150 divisors (see below), whose sum is σ = 3603177864. Its totient is φ = 274704000.

The previous prime is 1030229987. The next prime is 1030230031. The reversal of 1030230000 is 320301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×10302300002 = 2122747705800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84277 + ... + 95723.

Almost surely, 21030230000 is an apocalyptic number.

1030230000 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 1030230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801588932).

1030230000 is an abundant number, since it is smaller than the sum of its proper divisors (2572947864).

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

1030230000 is a wasteful number, since it uses less digits than its factorization.

1030230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11481 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1030230000 is about 32097.1961392269. The cubic root of 1030230000 is about 1009.9767991272.

Adding to 1030230000 its reverse (320301), we get a palindrome (1030550301).

The spelling of 1030230000 in words is "one billion, thirty million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 11447 15000 18000 22500 22894 30000 34341 45000 45788 57235 68682 90000 91576 103023 114470 137364 171705 183152 206046 228940 274728 286175 343410 412092 457880 515115 549456 572350 686820 824184 858525 915760 1030230 1144700 1373640 1430875 1648368 1717050 2060460 2289400 2575575 2747280 2861750 3434100 4120920 4292625 4578800 5151150 5723500 6868200 7154375 8241840 8585250 10302300 11447000 12877875 13736400 14308750 17170500 20604600 21463125 22894000 25755750 28617500 34341000 41209200 42926250 51511500 57235000 64389375 68682000 85852500 103023000 114470000 128778750 171705000 206046000 257557500 343410000 515115000 1030230000