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420134232 = 233721918803
BaseRepresentation
bin11001000010101…
…011110101011000
31002021120000211010
4121002223311120
51330023243412
6105404533520
713261040100
oct3102536530
91067500733
10420134232
111a6178081
12b88512a0
1369070b4b
143db26200
1526d3e33c
hex190abd58

420134232 has 96 divisors (see below), whose sum is σ = 1286193600. Its totient is φ = 113714496.

The previous prime is 420134189. The next prime is 420134249. The reversal of 420134232 is 232431024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 420134199 and 420134208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12943 + ... + 31745.

It is an arithmetic number, because the mean of its divisors is an integer number (13397850).

Almost surely, 2420134232 is an apocalyptic number.

420134232 is a gapful number since it is divisible by the number (42) 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 420134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643096800).

420134232 is an abundant number, since it is smaller than the sum of its proper divisors (866059368).

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

420134232 is a wasteful number, since it uses less digits than its factorization.

420134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18845 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 420134232 is about 20497.1761957593. The cubic root of 420134232 is about 748.9670116778.

Adding to 420134232 its reverse (232431024), we get a palindrome (652565256).

The spelling of 420134232 in words is "four hundred twenty million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 18803 22344 37606 56409 75212 112818 131621 150424 225636 263242 357257 394863 451272 526484 714514 789726 921347 1052968 1071771 1429028 1579452 1842694 2143542 2500799 2764041 2858056 3158904 3685388 4287084 5001598 5528082 7370776 7502397 8574168 10003196 11056164 15004794 17505593 20006392 22112328 30009588 35011186 52516779 60019176 70022372 105033558 140044744 210067116 420134232