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1630702672 = 243113125097
BaseRepresentation
bin110000100110010…
…1000110001010000
311012122110021112021
41201030220301100
511314424441142
6425451341224
755260513124
oct14114506120
94178407467
101630702672
11767542065
12396151814
131ccac5831
14116807584
1598266267
hex61328c50

1630702672 has 40 divisors (see below), whose sum is σ = 3286432512. Its totient is φ = 782995200.

The previous prime is 1630702639. The next prime is 1630702699. The reversal of 1630702672 is 2762070361.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52428 + ... + 77524.

Almost surely, 21630702672 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 1630702672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643216256).

1630702672 is an abundant number, since it is smaller than the sum of its proper divisors (1655729840).

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

1630702672 is a wasteful number, since it uses less digits than its factorization.

1630702672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25267 (or 25261 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 1630702672 is about 40381.9597345151. The cubic root of 1630702672 is about 1177.0410090459.

The spelling of 1630702672 in words is "one billion, six hundred thirty million, seven hundred two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 2096 4061 8122 16244 25097 32488 50194 64976 100388 200776 401552 778007 1556014 3112028 3287707 6224056 6575414 12448112 13150828 26301656 52603312 101918917 203837834 407675668 815351336 1630702672