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1353542020 = 225412716091
BaseRepresentation
bin101000010101101…
…0110100110000100
310111022221001120221
41100223112212010
510233001321040
6342151034124
745353626435
oct12053264604
93438831527
101353542020
11635048176
1231936b944
1318756364c
14cba9b48c
157dc6974a
hex50ad6984

1353542020 has 48 divisors (see below), whose sum is σ = 2922990336. Its totient is φ = 526176000.

The previous prime is 1353542017. The next prime is 1353542033. The reversal of 1353542020 is 202453531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219175 + ... + 225265.

It is an arithmetic number, because the mean of its divisors is an integer number (60895632).

Almost surely, 21353542020 is an apocalyptic number.

1353542020 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 1353542020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461495168).

1353542020 is an abundant number, since it is smaller than the sum of its proper divisors (1569448316).

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

1353542020 is a wasteful number, since it uses less digits than its factorization.

1353542020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1353542020 is about 36790.5153538246. The cubic root of 1353542020 is about 1106.1751916387.

Adding to 1353542020 its reverse (202453531), we get a palindrome (1555995551).

It can be divided in two parts, 13535 and 42020, that added together give a palindrome (55555).

The spelling of 1353542020 in words is "one billion, three hundred fifty-three million, five hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 6091 11111 12182 22222 24364 30455 44444 55555 60910 111110 121820 222220 249731 499462 998924 1248655 1650661 2497310 3301322 4994620 6602644 8253305 16506610 33013220 67677101 135354202 270708404 338385505 676771010 1353542020