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1342827420 = 22351113714851
BaseRepresentation
bin101000000001001…
…1110101110011100
310110120202200220220
41100002132232130
510222230434140
6341125241340
745163562514
oct12002365634
93416680826
101342827420
11629a9a130
12315863250
1318528174c
14ca4ac844
157cd4ebd0
hex5009eb9c

1342827420 has 96 divisors (see below), whose sum is σ = 4131945216. Its totient is φ = 323136000.

The previous prime is 1342827419. The next prime is 1342827427. The reversal of 1342827420 is 247282431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342827427) 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, 82995 + ... + 97845.

It is an arithmetic number, because the mean of its divisors is an integer number (43041096).

Almost surely, 21342827420 is an apocalyptic number.

1342827420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342827420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065972608).

1342827420 is an abundant number, since it is smaller than the sum of its proper divisors (2789117796).

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

1342827420 is a wasteful number, since it uses less digits than its factorization.

1342827420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 1342827420 is about 36644.6096991085. The cubic root of 1342827420 is about 1103.2486387487.

The spelling of 1342827420 in words is "one billion, three hundred forty-two million, eight hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1644 2055 2740 3014 4110 4521 6028 7535 8220 9042 14851 15070 18084 22605 29702 30140 44553 45210 59404 74255 89106 90420 148510 163361 178212 222765 297020 326722 445530 490083 653444 816805 891060 980166 1633610 1960332 2034587 2450415 3267220 4069174 4900830 6103761 8138348 9801660 10172935 12207522 20345870 22380457 24415044 30518805 40691740 44760914 61037610 67141371 89521828 111902285 122075220 134282742 223804570 268565484 335706855 447609140 671413710 1342827420