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631020416 = 27131722307
BaseRepresentation
bin100101100111001…
…001101110000000
31121222101011021112
4211213021232000
52243020123131
6142340542452
721431404445
oct4547115600
91558334245
10631020416
112a4215a84
121573b1a28
13a096a180
145db3d9cc
153a5e902b
hex259c9b80

631020416 has 64 divisors (see below), whose sum is σ = 1433512080. Its totient is φ = 274096128.

The previous prime is 631020359. The next prime is 631020421. The reversal of 631020416 is 614020136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 631020391 and 631020400.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17135 + ... + 39441.

Almost surely, 2631020416 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 631020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716756040).

631020416 is an abundant number, since it is smaller than the sum of its proper divisors (802491664).

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

631020416 is a wasteful number, since it uses less digits than its factorization.

631020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22351 (or 22339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 631020416 is about 25120.1197449375. The cubic root of 631020416 is about 857.7244765299.

The spelling of 631020416 in words is "six hundred thirty-one million, twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 22307 28288 44614 89228 178456 289991 356912 379219 579982 713824 758438 1159964 1427648 1516876 2319928 2855296 3033752 4639856 4929847 6067504 9279712 9859694 12135008 18559424 19719388 24270016 37118848 39438776 48540032 78877552 157755104 315510208 631020416