Search a number
-
+
109404516 = 22313273739
BaseRepresentation
bin1101000010101…
…10000101100100
321121212022210010
412201112011210
5211001421031
614504530220
72465631414
oct641260544
9247768703
10109404516
1156835261
1230780970
1319887300
141075c644
159911246
hex6856164

109404516 has 72 divisors (see below), whose sum is σ = 280590240. Its totient is φ = 33156864.

The previous prime is 109404511. The next prime is 109404551. The reversal of 109404516 is 615404901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (109404511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147675 + ... + 148413.

Almost surely, 2109404516 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 109404516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140295120).

109404516 is an abundant number, since it is smaller than the sum of its proper divisors (171185724).

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

109404516 is a wasteful number, since it uses less digits than its factorization.

109404516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 109404516 is about 10459.6613711917. The cubic root of 109404516 is about 478.2758105492.

The spelling of 109404516 in words is "one hundred nine million, four hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 169 219 292 338 438 507 676 739 876 949 1014 1478 1898 2028 2217 2847 2956 3796 4434 5694 8868 9607 11388 12337 19214 24674 28821 37011 38428 49348 53947 57642 74022 107894 115284 124891 148044 161841 215788 249782 323682 374673 499564 647364 701311 749346 1402622 1498692 2103933 2805244 4207866 8415732 9117043 18234086 27351129 36468172 54702258 109404516