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420000372 = 2232116117387
BaseRepresentation
bin11001000010001…
…011001001110100
31002021022020012100
4121002023021310
51330010002442
6105402022100
713256641611
oct3102131164
91067266170
10420000372
111a6096550
12b87a7930
1369024c3c
143dacd508
1526d1484c
hex1908b274

420000372 has 72 divisors (see below), whose sum is σ = 1177237152. Its totient is φ = 125179200.

The previous prime is 420000349. The next prime is 420000389. The reversal of 420000372 is 273000024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15463 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (16350516).

Almost surely, 2420000372 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 420000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588618576).

420000372 is an abundant number, since it is smaller than the sum of its proper divisors (757236780).

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

420000372 is a wasteful number, since it uses less digits than its factorization.

420000372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17469 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 420000372 is about 20493.9106077879. The cubic root of 420000372 is about 748.8874598218.

Adding to 420000372 its reverse (273000024), we get a palindrome (693000396).

The spelling of 420000372 in words is "four hundred twenty million, three hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 8052 12078 17387 24156 34774 52161 69548 104322 156483 191257 208644 312966 382514 573771 625932 765028 1060607 1147542 1721313 2121214 2295084 3181821 3442626 4242428 6363642 6885252 9545463 11666677 12727284 19090926 23333354 35000031 38181852 46666708 70000062 105000093 140000124 210000186 420000372