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1023421400 = 235261149563
BaseRepresentation
bin111101000000000…
…010101111011000
32122022202012020022
4331000002233120
54043443441100
6245315250012
734234636601
oct7500025730
92568665208
101023421400
11485770711
122468a9908
1313404a9c1
1499cc6da8
155ecaae85
hex3d002bd8

1023421400 has 96 divisors (see below), whose sum is σ = 2439018000. Its totient is φ = 399244800.

The previous prime is 1023421391. The next prime is 1023421411. The reversal of 1023421400 is 41243201.

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 23 ways as a sum of consecutive naturals, for example, 1817519 + ... + 1818081.

Almost surely, 21023421400 is an apocalyptic number.

1023421400 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 1023421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219509000).

1023421400 is an abundant number, since it is smaller than the sum of its proper divisors (1415596600).

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

1023421400 is a wasteful number, since it uses less digits than its factorization.

1023421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1023421400 is about 31990.9580975625. The cubic root of 1023421400 is about 1007.7469629197.

Adding to 1023421400 its reverse (41243201), we get a palindrome (1064664601).

The spelling of 1023421400 in words is "one billion, twenty-three million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 149 200 244 298 305 488 563 596 610 745 1126 1192 1220 1490 1525 2252 2440 2815 2980 3050 3725 4504 5630 5960 6100 7450 9089 11260 12200 14075 14900 18178 22520 28150 29800 34343 36356 45445 56300 68686 72712 83887 90890 112600 137372 167774 171715 181780 227225 274744 335548 343430 363560 419435 454450 671096 686860 838870 858575 908900 1373720 1677740 1717150 1817800 2097175 3355480 3434300 4194350 5117107 6868600 8388700 10234214 16777400 20468428 25585535 40936856 51171070 102342140 127927675 204684280 255855350 511710700 1023421400