Search a number
-
+
1555137144 = 2334111072039
BaseRepresentation
bin101110010110001…
…1000001001111000
311000101021011010000
41130230120021320
511141103342034
6414151553000
753352306351
oct13454301170
94011234100
101555137144
1172891a610
1237498b760
131ba2589c2
1410a776d28
15917db599
hex5cb18278

1555137144 has 160 divisors (see below), whose sum is σ = 4798569600. Its totient is φ = 466620480.

The previous prime is 1555137127. The next prime is 1555137173. The reversal of 1555137144 is 4417315551.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1555137099 and 1555137108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 761677 + ... + 763715.

It is an arithmetic number, because the mean of its divisors is an integer number (29991060).

Almost surely, 21555137144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1555137144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399284800).

1555137144 is an abundant number, since it is smaller than the sum of its proper divisors (3243432456).

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

1555137144 is a wasteful number, since it uses less digits than its factorization.

1555137144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2162 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 1555137144 is about 39435.2271959983. The cubic root of 1555137144 is about 1158.5716525714.

The spelling of 1555137144 in words is "one billion, five hundred fifty-five million, one hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 107 108 132 162 198 214 216 264 297 321 324 396 428 594 642 648 792 856 891 963 1177 1188 1284 1782 1926 2039 2354 2376 2568 2889 3531 3564 3852 4078 4708 5778 6117 7062 7128 7704 8156 8667 9416 10593 11556 12234 14124 16312 17334 18351 21186 22429 23112 24468 28248 31779 34668 36702 42372 44858 48936 55053 63558 67287 69336 73404 84744 89716 95337 110106 127116 134574 146808 165159 179432 190674 201861 218173 220212 254232 269148 330318 381348 403722 436346 440424 538296 605583 654519 660636 762696 807444 872692 1211166 1309038 1321272 1614888 1745384 1816749 1963557 2399903 2422332 2618076 3633498 3927114 4799806 4844664 5236152 5890671 7199709 7266996 7854228 9599612 11781342 14399418 14533992 15708456 17672013 19199224 21599127 23562684 28798836 35344026 43198254 47125368 57597672 64797381 70688052 86396508 129594762 141376104 172793016 194392143 259189524 388784286 518379048 777568572 1555137144