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540022788 = 2239193
BaseRepresentation
bin100000001100000…
…001100000000100
31101122011000000000
4200030001200010
52101221212123
6125330321300
716245055314
oct4014014004
91348130000
10540022788
11257913128
12130a29230
1387b59116
1451a13444
1532621b43
hex20301804

540022788 has 120 divisors (see below), whose sum is σ = 1496276320. Its totient is φ = 170533512.

The previous prime is 540022783. The next prime is 540022789. The reversal of 540022788 is 887220045.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×5400227882 = 583249223118585888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (540022783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28422243 + ... + 28422261.

Almost surely, 2540022788 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 540022788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748138160).

540022788 is an abundant number, since it is smaller than the sum of its proper divisors (956253532).

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

540022788 is an frugal number, since it uses more digits than its factorization.

540022788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 540022788 is about 23238.3903917634. The cubic root of 540022788 is about 814.3367396597.

The spelling of 540022788 in words is "five hundred forty million, twenty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 361 486 513 684 722 729 972 1026 1083 1444 1458 1539 2052 2166 2187 2916 3078 3249 4332 4374 4617 6156 6498 6561 6859 8748 9234 9747 12996 13122 13718 13851 18468 19494 19683 20577 26244 27436 27702 29241 38988 39366 41154 41553 55404 58482 61731 78732 82308 83106 87723 116964 123462 124659 166212 175446 185193 246924 249318 263169 350892 370386 373977 498636 526338 555579 740772 747954 789507 1052676 1111158 1495908 1579014 1666737 2222316 2368521 3158028 3333474 4737042 5000211 6666948 7105563 9474084 10000422 14211126 15000633 20000844 28422252 30001266 45001899 60002532 90003798 135005697 180007596 270011394 540022788