Search a number
-
+
109787004 = 223223671979
BaseRepresentation
bin1101000101100…
…11011101111100
321122120202110100
412202303131330
5211101141004
614521041100
72502113505
oct642633574
9248522410
10109787004
1156a76668
1230926190
131998c432
141081bbac
159989739
hex68b377c

109787004 has 72 divisors (see below), whose sum is σ = 294053760. Its totient is φ = 34464672.

The previous prime is 109786993. The next prime is 109787017. The reversal of 109787004 is 400787901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109787004.

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, 54487 + ... + 56465.

It is an arithmetic number, because the mean of its divisors is an integer number (4084080).

Almost surely, 2109787004 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 109787004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

109787004 is an abundant number, since it is smaller than the sum of its proper divisors (184266756).

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

109787004 is a wasteful number, since it uses less digits than its factorization.

109787004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 109787004 is about 10477.9293755971. The cubic root of 109787004 is about 478.8325273179.

The spelling of 109787004 in words is "one hundred nine million, seven hundred eighty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1206 1541 1979 2412 3082 3958 4623 5937 6164 7916 9246 11874 13869 17811 18492 23748 27738 35622 45517 55476 71244 91034 132593 136551 182068 265186 273102 397779 409653 530372 546204 795558 819306 1193337 1591116 1638612 2386674 3049639 4773348 6099278 9148917 12198556 18297834 27446751 36595668 54893502 109787004