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1542130224 = 243711074229
BaseRepresentation
bin101101111101011…
…0000101000110000
310222110210022222020
41123322300220300
511124241131344
6413005111440
753133614325
oct13372605060
93873708866
101542130224
11721546298
12370558580
131b76535bb
14108b4cb4c
15905bc719
hex5beb0a30

1542130224 has 80 divisors (see below), whose sum is σ = 4078667520. Its totient is φ = 501948160.

The previous prime is 1542130181. The next prime is 1542130229. The reversal of 1542130224 is 4220312451.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1542130194 and 1542130203.

It is not an unprimeable number, because it can be changed into a prime (1542130229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362542 + ... + 366770.

It is an arithmetic number, because the mean of its divisors is an integer number (50983344).

Almost surely, 21542130224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039333760).

1542130224 is an abundant number, since it is smaller than the sum of its proper divisors (2536537296).

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

1542130224 is a wasteful number, since it uses less digits than its factorization.

1542130224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1542130224 is about 39269.9659281747. The cubic root of 1542130224 is about 1155.3325689116.

Adding to 1542130224 its reverse (4220312451), we get a palindrome (5762442675).

The spelling of 1542130224 in words is "one billion, five hundred forty-two million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 107 142 213 214 284 321 426 428 568 642 852 856 1136 1284 1704 1712 2568 3408 4229 5136 7597 8458 12687 15194 16916 22791 25374 30388 33832 45582 50748 60776 67664 91164 101496 121552 182328 202992 300259 364656 452503 600518 900777 905006 1201036 1357509 1801554 1810012 2402072 2715018 3603108 3620024 4804144 5430036 7206216 7240048 10860072 14412432 21720144 32127713 64255426 96383139 128510852 192766278 257021704 385532556 514043408 771065112 1542130224