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1417350420 = 223359727059
BaseRepresentation
bin101010001111011…
…0000110100010100
310122202222212021000
41110132300310110
510400320203140
6352350423300
750060164653
oct12436606424
93582885230
101417350420
1166806a392
12336801b30
13197844bb5
14d634b19a
1584670a30
hex547b0d14

1417350420 has 96 divisors (see below), whose sum is σ = 4455158400. Its totient is φ = 374049792.

The previous prime is 1417350409. The next prime is 1417350457. The reversal of 1417350420 is 240537141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38851 + ... + 65909.

It is an arithmetic number, because the mean of its divisors is an integer number (46407900).

Almost surely, 21417350420 is an apocalyptic number.

1417350420 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 1417350420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227579200).

1417350420 is an abundant number, since it is smaller than the sum of its proper divisors (3037807980).

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

1417350420 is a wasteful number, since it uses less digits than its factorization.

1417350420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27174 (or 27166 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1417350420 is about 37647.7146716770. The cubic root of 1417350420 is about 1123.2913439757.

Adding to 1417350420 its reverse (240537141), we get a palindrome (1657887561).

The spelling of 1417350420 in words is "one billion, four hundred seventeen million, three hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 5238 5820 8730 10476 13095 17460 26190 27059 52380 54118 81177 108236 135295 162354 243531 270590 324708 405885 487062 541180 730593 811770 974124 1217655 1461186 1623540 2435310 2624723 2922372 3652965 4870620 5249446 7305930 7874169 10498892 13123615 14611860 15748338 23622507 26247230 31496676 39370845 47245014 52494460 70867521 78741690 94490028 118112535 141735042 157483380 236225070 283470084 354337605 472450140 708675210 1417350420