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42079620 = 223511103619
BaseRepresentation
bin1010000010000…
…1010110000100
32221011212101110
42200201112010
541233021440
64101525020
71020446052
oct240412604
987155343
1042079620
1121831050
1212113770
1389442ab
1458351d2
153a63080
hex2821584

42079620 has 96 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 10085760.

The previous prime is 42079613. The next prime is 42079621. The reversal of 42079620 is 2697024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42079621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67671 + ... + 68289.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 242079620 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 42079620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

42079620 is an abundant number, since it is smaller than the sum of its proper divisors (87912060).

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

42079620 is a wasteful number, since it uses less digits than its factorization.

42079620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42079620 is about 6486.8806062699. The cubic root of 42079620 is about 347.8221776146.

The spelling of 42079620 in words is "forty-two million, seventy-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 619 660 1030 1133 1236 1238 1545 1857 2060 2266 2476 3090 3095 3399 3714 4532 5665 6180 6190 6798 6809 7428 9285 11330 12380 13596 13618 16995 18570 20427 22660 27236 33990 34045 37140 40854 63757 67980 68090 81708 102135 127514 136180 191271 204270 255028 318785 382542 408540 637570 701327 765084 956355 1275140 1402654 1912710 2103981 2805308 3506635 3825420 4207962 7013270 8415924 10519905 14026540 21039810 42079620