Search a number
-
+
109713408 = 211372551
BaseRepresentation
bin1101000101000…
…01100000000000
321122110000111120
412202201200000
5211041312113
614515312240
72501356110
oct642414000
9248400446
10109713408
1156a26342
12308ab680
1319964a9c
14107dd040
159972a23
hex68a1800

109713408 has 96 divisors (see below), whose sum is σ = 334414080. Its totient is φ = 31334400.

The previous prime is 109713407. The next prime is 109713421. The reversal of 109713408 is 804317901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109713403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41733 + ... + 44283.

It is an arithmetic number, because the mean of its divisors is an integer number (3483480).

Almost surely, 2109713408 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 109713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167207040).

109713408 is an abundant number, since it is smaller than the sum of its proper divisors (224700672).

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

109713408 is an equidigital number, since it uses as much as digits as its factorization.

109713408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 109713408 is about 10474.4168334089. The cubic root of 109713408 is about 478.7255078627.

The spelling of 109713408 in words is "one hundred nine million, seven hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2551 2688 3072 3584 5102 5376 6144 7168 7653 10204 10752 14336 15306 17857 20408 21504 30612 35714 40816 43008 53571 61224 71428 81632 107142 122448 142856 163264 214284 244896 285712 326528 428568 489792 571424 653056 857136 979584 1142848 1306112 1714272 1959168 2285696 2612224 3428544 3918336 4571392 5224448 6857088 7836672 9142784 13714176 15673344 18285568 27428352 36571136 54856704 109713408