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155640540 = 2235112310253
BaseRepresentation
bin10010100011011…
…10001011011100
3101211212100200110
421101232023130
5304320444130
623235530020
73566631336
oct1121561334
9354770613
10155640540
117a945050
1244159910
13263253c3
1416956456
15d9e5ab0
hex946e2dc

155640540 has 96 divisors (see below), whose sum is σ = 496129536. Its totient is φ = 36087040.

The previous prime is 155640539. The next prime is 155640581. The reversal of 155640540 is 45046551.

155640540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155640498 and 155640507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10054 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (5168016).

Almost surely, 2155640540 is an apocalyptic number.

155640540 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 155640540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248064768).

155640540 is an abundant number, since it is smaller than the sum of its proper divisors (340488996).

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

155640540 is a wasteful number, since it uses less digits than its factorization.

155640540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 155640540 is about 12475.5977812688. The cubic root of 155640540 is about 537.9074710852.

The spelling of 155640540 in words is "one hundred fifty-five million, six hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 10253 15180 20506 30759 41012 51265 61518 102530 112783 123036 153795 205060 225566 235819 307590 338349 451132 471638 563915 615180 676698 707457 943276 1127830 1179095 1353396 1414914 1691745 2255660 2358190 2594009 2829828 3383490 3537285 4716380 5188018 6766980 7074570 7782027 10376036 12970045 14149140 15564054 25940090 31128108 38910135 51880180 77820270 155640540