Search a number
-
+
144926320 = 24572113361
BaseRepresentation
bin10001010001101…
…10011001110000
3101002201000112111
420220312121300
5244100120240
622214135104
73406565500
oct1050663160
9332630474
10144926320
1174897320
1240651494
1324043726
1415367a00
15cacb1ea
hex8a36670

144926320 has 120 divisors (see below), whose sum is σ = 427727088. Its totient is φ = 45158400.

The previous prime is 144926317. The next prime is 144926323. The reversal of 144926320 is 23629441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144926317) and next prime (144926323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144926323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41440 + ... + 44800.

Almost surely, 2144926320 is an apocalyptic number.

144926320 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 144926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213863544).

144926320 is an abundant number, since it is smaller than the sum of its proper divisors (282800768).

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

144926320 is a wasteful number, since it uses less digits than its factorization.

144926320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 144926320 is about 12038.5347945670. The cubic root of 144926320 is about 525.2697872638.

The spelling of 144926320 in words is "one hundred forty-four million, nine hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3361 3920 4312 5390 6160 6722 8624 10780 13444 16805 21560 23527 26888 33610 36971 43120 47054 53776 67220 73942 94108 117635 134440 147884 164689 184855 188216 235270 258797 268880 295768 329378 369710 376432 470540 517594 591536 658756 739420 823445 941080 1035188 1293985 1317512 1478840 1646890 1811579 1882160 2070376 2587970 2635024 2957680 3293780 3623158 4140752 5175940 6587560 7246316 9057895 10351880 13175120 14492632 18115790 20703760 28985264 36231580 72463160 144926320