Search a number
-
+
1531112540 = 225375935069
BaseRepresentation
bin101101101000010…
…1110110001011100
310221201001120112212
41123100232301130
511113431100130
6411533015552
752641145646
oct13320566134
93851046485
101531112540
11716300571
123689245b8
131b5296769
141074c1896
158e642e95
hex5b42ec5c

1531112540 has 48 divisors (see below), whose sum is σ = 3358303200. Its totient is φ = 585775872.

The previous prime is 1531112501. The next prime is 1531112551. The reversal of 1531112540 is 452111351.

It is a super-2 number, since 2×15311125402 = 4688611220290503200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26126 + ... + 61194.

It is an arithmetic number, because the mean of its divisors is an integer number (69964650).

Almost surely, 21531112540 is an apocalyptic number.

1531112540 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 1531112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679151600).

1531112540 is an abundant number, since it is smaller than the sum of its proper divisors (1827190660).

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

1531112540 is a wasteful number, since it uses less digits than its factorization.

1531112540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35174 (or 35172 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 1531112540 is about 39129.4331673741. The cubic root of 1531112540 is about 1152.5745821554.

Adding to 1531112540 its reverse (452111351), we get a palindrome (1983223891).

The spelling of 1531112540 in words is "one billion, five hundred thirty-one million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 59 74 118 148 185 236 295 370 590 740 1180 2183 4366 8732 10915 21830 35069 43660 70138 140276 175345 350690 701380 1297553 2069071 2595106 4138142 5190212 6487765 8276284 10345355 12975530 20690710 25951060 41381420 76555627 153111254 306222508 382778135 765556270 1531112540