Search a number
-
+
1042232430 = 2351771107269
BaseRepresentation
bin111110000111110…
…011010001101110
32200122010220010010
4332013303101232
54113302414210
6251230354050
734553554341
oct7607632156
92618126103
101042232430
11495349718
1225105b926
13137c05ba5
149c5c2458
1561774920
hex3e1f346e

1042232430 has 128 divisors (see below), whose sum is σ = 2720977920. Its totient is φ = 254535680.

The previous prime is 1042232393. The next prime is 1042232449. The reversal of 1042232430 is 342322401.

It is a junction number, because it is equal to n+sod(n) for n = 1042232397 and 1042232406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3874336 + ... + 3874604.

It is an arithmetic number, because the mean of its divisors is an integer number (21257640).

Almost surely, 21042232430 is an apocalyptic number.

1042232430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042232430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360488960).

1042232430 is an abundant number, since it is smaller than the sum of its proper divisors (1678745490).

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

1042232430 is a wasteful number, since it uses less digits than its factorization.

1042232430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1042232430 is about 32283.6247964816. The cubic root of 1042232430 is about 1013.8838240128.

Adding to 1042232430 its reverse (342322401), we get a palindrome (1384554831).

The spelling of 1042232430 in words is "one billion, forty-two million, two hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 107 142 170 213 214 255 269 321 355 426 510 535 538 642 710 807 1065 1070 1207 1345 1605 1614 1819 2130 2414 2690 3210 3621 3638 4035 4573 5457 6035 7242 7597 8070 9095 9146 10914 12070 13719 15194 18105 18190 19099 22791 22865 27285 27438 28783 36210 37985 38198 45582 45730 54570 57297 57566 68595 75970 86349 95495 113955 114594 129149 137190 143915 172698 190990 227910 258298 286485 287830 324683 387447 431745 489311 572970 645745 649366 774894 863490 974049 978622 1291490 1467933 1623415 1937235 1948098 2043593 2446555 2935866 3246830 3874470 4087186 4870245 4893110 6130779 7339665 9740490 10217965 12261558 14679330 20435930 30653895 34741081 61307790 69482162 104223243 173705405 208446486 347410810 521116215 1042232430