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42141330 = 23357112027
BaseRepresentation
bin1010000011000…
…0011010010010
32221022000001000
42200300122102
541242010310
64103122430
71021124010
oct240603222
987260030
1042141330
1121873450
1212143416
1389663ca
14584d8b0
153a764c0
hex2830692

42141330 has 128 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 8752320.

The previous prime is 42141299. The next prime is 42141347. The reversal of 42141330 is 3314124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19777 + ... + 21803.

It is an arithmetic number, because the mean of its divisors is an integer number (1095120).

Almost surely, 242141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70087680).

42141330 is an abundant number, since it is smaller than the sum of its proper divisors (98034030).

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

42141330 is a wasteful number, since it uses less digits than its factorization.

42141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42141330 is about 6491.6353871733. The cubic root of 42141330 is about 347.9921222949.

Adding to 42141330 its reverse (3314124), we get a palindrome (45455454).

The spelling of 42141330 in words is "forty-two million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2027 2079 2310 2970 3465 4054 4158 6081 6930 10135 10395 12162 14189 18243 20270 20790 22297 28378 30405 36486 42567 44594 54729 60810 66891 70945 85134 91215 109458 111485 127701 133782 141890 156079 182430 200673 212835 222970 255402 273645 312158 334455 383103 401346 425670 468237 547290 602019 638505 668910 766206 780395 936474 1003365 1204038 1277010 1404711 1560790 1915515 2006730 2341185 2809422 3010095 3831030 4214133 4682370 6020190 7023555 8428266 14047110 21070665 42141330