Search a number
-
+
7632828630 = 2325712115601
BaseRepresentation
bin1110001101111001…
…11011100011010110
3201200221111212110200
413012330323203112
5111113001004010
63301222001330
7360101654460
oct70674734326
921627455420
107632828630
113267595139
121590276246
1394845715b
14525a0b130
152ea16dcc0
hex1c6f3b8d6

7632828630 has 48 divisors (see below), whose sum is σ = 22680406944. Its totient is φ = 1744646400.

The previous prime is 7632828617. The next prime is 7632828647. The reversal of 7632828630 is 368282367.

7632828630 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 8 + 2 + 8 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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, 6057171 + ... + 6058430.

It is an arithmetic number, because the mean of its divisors is an integer number (472508478).

Almost surely, 27632828630 is an apocalyptic number.

7632828630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7632828630 is an abundant number, since it is smaller than the sum of its proper divisors (15047578314).

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

7632828630 is a wasteful number, since it uses less digits than its factorization.

7632828630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12115621 (or 12115618 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7632828630 is about 87366.0610878160. The cubic root of 7632828630 is about 1968.9219650847.

The spelling of 7632828630 in words is "seven billion, six hundred thirty-two million, eight hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 12115601 24231202 36346803 60578005 72693606 84809207 109040409 121156010 169618414 181734015 218080818 254427621 363468030 424046035 508855242 545202045 763282863 848092070 1090404090 1272138105 1526565726 2544276210 3816414315 7632828630