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104553630 = 23252353953
BaseRepresentation
bin1100011101101…
…01110010011110
321021201212121200
412032311302132
5203231204010
614212540330
72406456036
oct616656236
9237655550
10104553630
1154021765
122b0216a6
131887936c
14dc588c6
1592a3cc0
hex63b5c9e

104553630 has 96 divisors (see below), whose sum is σ = 289313856. Its totient is φ = 26138112.

The previous prime is 104553629. The next prime is 104553641. The reversal of 104553630 is 36355401.

104553630 is a `hidden beast` number, since 104 + 553 + 6 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104553594 and 104553603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109234 + ... + 110186.

It is an arithmetic number, because the mean of its divisors is an integer number (3013686).

Almost surely, 2104553630 is an apocalyptic number.

104553630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104553630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144656928).

104553630 is an abundant number, since it is smaller than the sum of its proper divisors (184760226).

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

104553630 is a wasteful number, since it uses less digits than its factorization.

104553630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 104553630 is about 10225.1469427094. The cubic root of 104553630 is about 471.0999287615.

The spelling of 104553630 in words is "one hundred four million, five hundred fifty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 53 69 90 106 115 138 159 207 230 265 318 345 414 477 530 690 795 953 954 1035 1219 1590 1906 2070 2385 2438 2859 3657 4765 4770 5718 6095 7314 8577 9530 10971 12190 14295 17154 18285 21919 21942 28590 36570 42885 43838 50509 54855 65757 85770 101018 109595 109710 131514 151527 197271 219190 252545 303054 328785 394542 454581 505090 657570 757635 909162 986355 1161707 1515270 1972710 2272905 2323414 3485121 4545810 5808535 6970242 10455363 11617070 17425605 20910726 34851210 52276815 104553630