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42354420 = 22351953701
BaseRepresentation
bin1010000110010…
…0011011110100
32221200211100020
42201210123310
541320320140
64111445140
71023002163
oct241443364
987624306
1042354420
11219a9559
12122267b0
138a0c3b4
1458a73da
153ab96d0
hex28646f4

42354420 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 10483200.

The previous prime is 42354419. The next prime is 42354421. The reversal of 42354420 is 2445324.

It is an interprime number because it is at equal distance from previous prime (42354419) and next prime (42354421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42354421) 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, 60070 + ... + 60770.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 242354420 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 42354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

42354420 is an abundant number, since it is smaller than the sum of its proper divisors (85016460).

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

42354420 is a wasteful number, since it uses less digits than its factorization.

42354420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42354420 is about 6508.0273508952. The cubic root of 42354420 is about 348.5776836581.

Adding to 42354420 its reverse (2445324), we get a palindrome (44799744).

The spelling of 42354420 in words is "forty-two million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 53 57 60 76 95 106 114 159 190 212 228 265 285 318 380 530 570 636 701 795 1007 1060 1140 1402 1590 2014 2103 2804 3021 3180 3505 4028 4206 5035 6042 7010 8412 10070 10515 12084 13319 14020 15105 20140 21030 26638 30210 37153 39957 42060 53276 60420 66595 74306 79914 111459 133190 148612 159828 185765 199785 222918 266380 371530 399570 445836 557295 705907 743060 799140 1114590 1411814 2117721 2229180 2823628 3529535 4235442 7059070 8470884 10588605 14118140 21177210 42354420