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8109972 = 22321323143
BaseRepresentation
bin11110111011111110010100
3120021000210100
4132323332110
54034004342
6445454100
7125635143
oct36737624
916230710
108109972
11463a162
122871330
1318ac500
14111175a
15aa2e4c
hex7bbf94

8109972 has 108 divisors (see below), whose sum is σ = 23447424. Its totient is φ = 2358720.

The previous prime is 8109971. The next prime is 8109973. The reversal of 8109972 is 2799018.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8109971) and next prime (8109973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8109971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188583 + ... + 188625.

Almost surely, 28109972 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 8109972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723712).

8109972 is an abundant number, since it is smaller than the sum of its proper divisors (15337452).

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

8109972 is a wasteful number, since it uses less digits than its factorization.

8109972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8109972 is about 2847.8012571105. The cubic root of 8109972 is about 200.9122658615.

The spelling of 8109972 in words is "eight million, one hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 43 52 62 78 86 93 117 124 129 156 169 172 186 234 258 279 338 372 387 403 468 507 516 558 559 676 774 806 1014 1116 1118 1209 1333 1521 1548 1612 1677 2028 2236 2418 2666 3042 3354 3627 3999 4836 5031 5239 5332 6084 6708 7254 7267 7998 10062 10478 11997 14508 14534 15717 15996 17329 20124 20956 21801 23994 29068 31434 34658 43602 47151 47988 51987 62868 65403 69316 87204 94302 103974 130806 155961 188604 207948 225277 261612 311922 450554 623844 675831 901108 1351662 2027493 2703324 4054986 8109972