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42121530 = 232511157271
BaseRepresentation
bin1010000010101…
…1100100111010
32221020222212200
42200223210322
541240342110
64102451030
71021012203
oct240534472
987228780
1042121530
112185a590
1212133a76
13895a3a9
1458465aa
153a706c0
hex282b93a

42121530 has 96 divisors (see below), whose sum is σ = 120676608. Its totient is φ = 10108800.

The previous prime is 42121501. The next prime is 42121549. The reversal of 42121530 is 3512124.

42121530 is a `hidden beast` number, since 421 + 215 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155295 + ... + 155565.

It is an arithmetic number, because the mean of its divisors is an integer number (1257048).

Almost surely, 242121530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338304).

42121530 is an abundant number, since it is smaller than the sum of its proper divisors (78555078).

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

42121530 is a wasteful number, since it uses less digits than its factorization.

42121530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42121530 is about 6490.1101685565. The cubic root of 42121530 is about 347.9376126767.

Adding to 42121530 its reverse (3512124), we get a palindrome (45633654).

The spelling of 42121530 in words is "forty-two million, one hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 157 165 198 271 314 330 471 495 542 785 813 942 990 1355 1413 1570 1626 1727 2355 2439 2710 2826 2981 3454 4065 4710 4878 5181 5962 7065 8130 8635 8943 10362 12195 14130 14905 15543 17270 17886 24390 25905 26829 29810 31086 42547 44715 51810 53658 77715 85094 89430 127641 134145 155430 212735 255282 268290 382923 425470 468017 638205 765846 936034 1276410 1404051 1914615 2340085 2808102 3829230 4212153 4680170 7020255 8424306 14040510 21060765 42121530