Search a number
-
+
155500440 = 23354779349
BaseRepresentation
bin10010100010010…
…11111110011000
3101211121020111120
421101023332120
5304302003230
623232525240
73565506024
oct1121137630
9354536446
10155500440
117a859867
12440b0820
13262a66c4
141691b384
15d9b9310
hex944bf98

155500440 has 128 divisors (see below), whose sum is σ = 483840000. Its totient is φ = 39955968.

The previous prime is 155500421. The next prime is 155500441. The reversal of 155500440 is 44005551.

155500440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 155500440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155500441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445386 + ... + 445734.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2155500440 is an apocalyptic number.

155500440 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 155500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

155500440 is an abundant number, since it is smaller than the sum of its proper divisors (328339560).

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

155500440 is a wasteful number, since it uses less digits than its factorization.

155500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 155500440 is about 12469.9815557201. The cubic root of 155500440 is about 537.7460233029.

Adding to 155500440 its reverse (44005551), we get a palindrome (199505991).

The spelling of 155500440 in words is "one hundred fifty-five million, five hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 79 94 120 141 158 188 235 237 282 316 349 376 395 470 474 564 632 698 705 790 940 948 1047 1128 1185 1396 1410 1580 1745 1880 1896 2094 2370 2792 2820 3160 3490 3713 4188 4740 5235 5640 6980 7426 8376 9480 10470 11139 13960 14852 16403 18565 20940 22278 27571 29704 32806 37130 41880 44556 49209 55142 55695 65612 74260 82015 82713 89112 98418 110284 111390 131224 137855 148520 164030 165426 196836 220568 222780 246045 275710 328060 330852 393672 413565 445560 492090 551420 656120 661704 827130 984180 1102840 1295837 1654260 1968360 2591674 3308520 3887511 5183348 6479185 7775022 10366696 12958370 15550044 19437555 25916740 31100088 38875110 51833480 77750220 155500440