Search a number
-
+
155645440 = 295163373
BaseRepresentation
bin10010100011011…
…11011000000000
3101211212121101221
421101233120000
5304321123230
623240004424
73566651536
oct1121573000
9354777357
10155645440
117a9487a5
1244160714
13263276c2
1416958156
15d9e727a
hex946f600

155645440 has 80 divisors (see below), whose sum is σ = 376480368. Its totient is φ = 61710336.

The previous prime is 155645437. The next prime is 155645449. The reversal of 155645440 is 44546551.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 155645396 and 155645405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155645449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417094 + ... + 417466.

Almost surely, 2155645440 is an apocalyptic number.

155645440 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 155645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188240184).

155645440 is an abundant number, since it is smaller than the sum of its proper divisors (220834928).

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

155645440 is an equidigital number, since it uses as much as digits as its factorization.

155645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 155645440 is about 12475.7941630984. The cubic root of 155645440 is about 537.9131159704.

The spelling of 155645440 in words is "one hundred fifty-five million, six hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 373 512 640 652 746 815 1280 1304 1492 1630 1865 2560 2608 2984 3260 3730 5216 5968 6520 7460 10432 11936 13040 14920 20864 23872 26080 29840 41728 47744 52160 59680 60799 83456 95488 104320 119360 121598 190976 208640 238720 243196 303995 417280 477440 486392 607990 954880 972784 1215980 1945568 2431960 3891136 4863920 7782272 9727840 15564544 19455680 31129088 38911360 77822720 155645440