Search a number
-
+
1439164920 = 2335174391607
BaseRepresentation
bin101010111000111…
…1110100111111000
310201022001011010110
41111301332213320
510421411234140
6354450144320
750443462044
oct12561764770
93638034113
101439164920
116794099a6
12341b820a0
1319c21219b
14d91c9024
158652e380
hex55c7e9f8

1439164920 has 128 divisors (see below), whose sum is σ = 4584729600. Its totient is φ = 360155136.

The previous prime is 1439164919. The next prime is 1439164921. The reversal of 1439164920 is 294619341.

It is an interprime number because it is at equal distance from previous prime (1439164919) and next prime (1439164921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1439164921) 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, 894757 + ... + 896363.

It is an arithmetic number, because the mean of its divisors is an integer number (35818200).

Almost surely, 21439164920 is an apocalyptic number.

1439164920 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 1439164920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292364800).

1439164920 is an abundant number, since it is smaller than the sum of its proper divisors (3145564680).

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

1439164920 is a wasteful number, since it uses less digits than its factorization.

1439164920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1439164920 is about 37936.3271812125. The cubic root of 1439164920 is about 1129.0249034563.

The spelling of 1439164920 in words is "one billion, four hundred thirty-nine million, one hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 439 510 680 878 1020 1317 1607 1756 2040 2195 2634 3214 3512 4390 4821 5268 6428 6585 7463 8035 8780 9642 10536 12856 13170 14926 16070 17560 19284 22389 24105 26340 27319 29852 32140 37315 38568 44778 48210 52680 54638 59704 64280 74630 81957 89556 96420 109276 111945 136595 149260 163914 179112 192840 218552 223890 273190 298520 327828 409785 447780 546380 655656 705473 819570 895560 1092760 1410946 1639140 2116419 2821892 3278280 3527365 4232838 5643784 7054730 8465676 10582095 11993041 14109460 16931352 21164190 23986082 28218920 35979123 42328380 47972164 59965205 71958246 84656760 95944328 119930410 143916492 179895615 239860820 287832984 359791230 479721640 719582460 1439164920