Search a number
-
+
153154540 = 22571129041
BaseRepresentation
bin10010010000011…
…11001111101100
3101200012001112101
421020033033230
5303201421130
623110344444
73536535460
oct1110171754
9350161471
10153154540
11794a7300
124335b124
13259649b6
14164aa4a0
15d6a41ca
hex920f3ec

153154540 has 72 divisors (see below), whose sum is σ = 404068896. Its totient is φ = 47731200.

The previous prime is 153154523. The next prime is 153154543. The reversal of 153154540 is 45451351.

153154540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1531545402 = 46912626245223200, which contains 22 as substring.

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 = 153154499 and 153154508.

It is not an unprimeable number, because it can be changed into a prime (153154543) 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, 12420 + ... + 21460.

It is an arithmetic number, because the mean of its divisors is an integer number (5612068).

Almost surely, 2153154540 is an apocalyptic number.

153154540 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 153154540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202034448).

153154540 is an abundant number, since it is smaller than the sum of its proper divisors (250914356).

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

153154540 is a wasteful number, since it uses less digits than its factorization.

153154540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079 (or 9066 counting only the distinct ones).

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

The square root of 153154540 is about 12375.5622094513. The cubic root of 153154540 is about 535.0281407156.

The spelling of 153154540 in words is "one hundred fifty-three million, one hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 9041 16940 18082 36164 45205 63287 90410 99451 126574 180820 198902 253148 316435 397804 497255 632870 696157 994510 1093961 1265740 1392314 1989020 2187922 2784628 3480785 4375844 5469805 6961570 7657727 10939610 13923140 15315454 21879220 30630908 38288635 76577270 153154540