Search a number
-
+
109317564 = 223219712251
BaseRepresentation
bin1101000010000…
…00110110111100
321121200220111200
412201000312330
5210441130224
614503015500
72465120046
oct641006674
9247626450
10109317564
11567859a4
123073a590
1319856865
1410738a96
1598e55c9
hex6840dbc

109317564 has 72 divisors (see below), whose sum is σ = 295102080. Its totient is φ = 34020000.

The previous prime is 109317539. The next prime is 109317587. The reversal of 109317564 is 465713901.

109317564 is a `hidden beast` number, since 1 + 0 + 93 + 1 + 7 + 564 = 666.

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

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, 47439 + ... + 49689.

It is an arithmetic number, because the mean of its divisors is an integer number (4098640).

Almost surely, 2109317564 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 109317564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147551040).

109317564 is an abundant number, since it is smaller than the sum of its proper divisors (185784516).

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

109317564 is a wasteful number, since it uses less digits than its factorization.

109317564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 109317564 is about 10455.5040050683. The cubic root of 109317564 is about 478.1490697097.

The spelling of 109317564 in words is "one hundred nine million, three hundred seventeen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2251 2556 2698 4047 4502 5396 6753 8094 9004 12141 13506 16188 20259 24282 27012 40518 42769 48564 81036 85538 128307 159821 171076 256614 319642 384921 479463 513228 639284 769842 958926 1438389 1539684 1917852 2876778 3036599 5753556 6073198 9109797 12146396 18219594 27329391 36439188 54658782 109317564