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420920934 = 237671011481
BaseRepresentation
bin11001000101101…
…011111001100110
31002100000222222020
4121011223321212
51330223432214
6105433444010
713300524510
oct3105537146
91070028866
10420920934
111a6665145
12b8b70606
1369287c55
143dc8cbb0
1526e474a9
hex1916be66

420920934 has 64 divisors (see below), whose sum is σ = 986798592. Its totient is φ = 117216000.

The previous prime is 420920893. The next prime is 420920939. The reversal of 420920934 is 439029024.

It is a junction number, because it is equal to n+sod(n) for n = 420920895 and 420920904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420920939) 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, 283474 + ... + 284954.

It is an arithmetic number, because the mean of its divisors is an integer number (15418728).

Almost surely, 2420920934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420920934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493399296).

420920934 is an abundant number, since it is smaller than the sum of its proper divisors (565877658).

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

420920934 is a wasteful number, since it uses less digits than its factorization.

420920934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 420920934 is about 20516.3577176847. The cubic root of 420920934 is about 749.4342008246.

Adding to 420920934 its reverse (439029024), we get a palindrome (859949958).

The spelling of 420920934 in words is "four hundred twenty million, nine hundred twenty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 67 101 134 201 202 303 402 469 606 707 938 1407 1414 1481 2121 2814 2962 4242 4443 6767 8886 10367 13534 20301 20734 31101 40602 47369 62202 94738 99227 142107 149581 198454 284214 297681 299162 448743 595362 694589 897486 1047067 1389178 2083767 2094134 3141201 4167534 6282402 10021927 20043854 30065781 60131562 70153489 140306978 210460467 420920934