Search a number
-
+
830629480 = 23520765737
BaseRepresentation
bin110001100000100…
…110011001101000
32010212222100102211
4301200212121220
53200120120410
6214231134504
726404143202
oct6140463150
92125870384
10830629480
1139696124a
121b2214434
13103118545
147c45d772
154cdc768a
hex31826668

830629480 has 16 divisors (see below), whose sum is σ = 1868916420. Its totient is φ = 332251776.

The previous prime is 830629477. The next prime is 830629489. The reversal of 830629480 is 84926038.

It can be written as a sum of positive squares in 2 ways, for example, as 786353764 + 44275716 = 28042^2 + 6654^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 20765737 = 830629480 / (8 + 3 + 0 + 6 + 2 + 9 + 4 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (830629489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10382829 + ... + 10382908.

Almost surely, 2830629480 is an apocalyptic number.

It is an amenable number.

830629480 is an abundant number, since it is smaller than the sum of its proper divisors (1038286940).

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

830629480 is a wasteful number, since it uses less digits than its factorization.

830629480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20765748 (or 20765744 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 830629480 is about 28820.6432960821. The cubic root of 830629480 is about 940.0171567715.

The spelling of 830629480 in words is "eight hundred thirty million, six hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 20765737 41531474 83062948 103828685 166125896 207657370 415314740 830629480