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155403540 = 223254012153
BaseRepresentation
bin10010100001101…
…00010100010100
3101211102022120200
421100310110110
5304240403130
623230500500
73564623355
oct1120642424
9354368520
10155403540
117a7a2a86
1244064730
1326271576
14168d3d2c
15d99a760
hex9434514

155403540 has 72 divisors (see below), whose sum is σ = 472785768. Its totient is φ = 41318400.

The previous prime is 155403517. The next prime is 155403541. The reversal of 155403540 is 45304551.

155403540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24621444 + 130782096 = 4962^2 + 11436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155403541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71104 + ... + 73256.

It is an arithmetic number, because the mean of its divisors is an integer number (6566469).

Almost surely, 2155403540 is an apocalyptic number.

155403540 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 155403540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236392884).

155403540 is an abundant number, since it is smaller than the sum of its proper divisors (317382228).

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

155403540 is a wasteful number, since it uses less digits than its factorization.

155403540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 155403540 is about 12466.0956197199. The cubic root of 155403540 is about 537.6343013961.

The spelling of 155403540 in words is "one hundred fifty-five million, four hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 2005 2153 2406 3609 4010 4306 4812 6015 6459 7218 8020 8612 10765 12030 12918 14436 18045 19377 21530 24060 25836 32295 36090 38754 43060 64590 72180 77508 96885 129180 193770 387540 863353 1726706 2590059 3453412 4316765 5180118 7770177 8633530 10360236 12950295 15540354 17267060 25900590 31080708 38850885 51801180 77701770 155403540