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542121140 = 225112832699
BaseRepresentation
bin100000010100000…
…001110010110100
31101210002121101202
4200110001302310
52102240334030
6125443312032
716301645051
oct4024016264
91353077352
10542121140
11259016700
1213167b618
1388412252
1451ddc028
15328d8745
hex20501cb4

542121140 has 72 divisors (see below), whose sum is σ = 1266904800. Its totient is φ = 194687680.

The previous prime is 542121131. The next prime is 542121163. The reversal of 542121140 is 41121245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199511 + ... + 202209.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2542121140 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 542121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633452400).

542121140 is an abundant number, since it is smaller than the sum of its proper divisors (724783660).

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

542121140 is a wasteful number, since it uses less digits than its factorization.

542121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 542121140 is about 23283.4950125620. The cubic root of 542121140 is about 815.3901252423.

Adding to 542121140 its reverse (41121245), we get a palindrome (583242385).

The spelling of 542121140 in words is "five hundred forty-two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 121 166 220 242 332 415 484 605 830 913 1210 1660 1826 2420 2699 3652 4565 5398 9130 10043 10796 13495 18260 20086 26990 29689 40172 50215 53980 59378 100430 118756 148445 200860 224017 296890 326579 448034 593780 653158 896068 1120085 1306316 1632895 2240170 2464187 3265790 4480340 4928374 6531580 9856748 12320935 24641870 27106057 49283740 54212114 108424228 135530285 271060570 542121140