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155315440 = 2457535233
BaseRepresentation
bin10010100000111…
…10110011110000
3101211020211201201
421100132303300
5304230043230
623224540544
73564105460
oct1120366360
9354224651
10155315440
117a742875
1244021754
1326240437
14168adba0
15d97e5ca
hex941ecf0

155315440 has 80 divisors (see below), whose sum is σ = 420562368. Its totient is φ = 52236288.

The previous prime is 155315437. The next prime is 155315453. The reversal of 155315440 is 44513551.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 155315399 and 155315408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27064 + ... + 32296.

Almost surely, 2155315440 is an apocalyptic number.

155315440 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 155315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210281184).

155315440 is an abundant number, since it is smaller than the sum of its proper divisors (265246928).

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

155315440 is a wasteful number, since it uses less digits than its factorization.

155315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 155315440 is about 12462.5615344519. The cubic root of 155315440 is about 537.5326852307.

Adding to 155315440 its reverse (44513551), we get a palindrome (199828991).

The spelling of 155315440 in words is "one hundred fifty-five million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5233 5936 7420 10466 14840 20932 26165 29680 36631 41864 52330 73262 83728 104660 146524 183155 209320 277349 293048 366310 418640 554698 586096 732620 1109396 1386745 1465240 1941443 2218792 2773490 2930480 3882886 4437584 5546980 7765772 9707215 11093960 15531544 19414430 22187920 31063088 38828860 77657720 155315440