Search a number
-
+
109662720 = 2935109131
BaseRepresentation
bin1101000100101…
…01001000000000
321122100102222020
412202111020000
5211033201340
614514241440
72501055246
oct642251000
9248312866
10109662720
11569a1252
1230886280
13199479ab
14107c8796
1599629d0
hex6895200

109662720 has 160 divisors (see below), whose sum is σ = 356495040. Its totient is φ = 28753920.

The previous prime is 109662713. The next prime is 109662803. The reversal of 109662720 is 27266901.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837055 + ... + 837185.

It is an arithmetic number, because the mean of its divisors is an integer number (2228094).

Almost surely, 2109662720 is an apocalyptic number.

109662720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178247520).

109662720 is an abundant number, since it is smaller than the sum of its proper divisors (246832320).

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

109662720 is a wasteful number, since it uses less digits than its factorization.

109662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 109662720 is about 10471.9969442318. The cubic root of 109662720 is about 478.6517721881.

The spelling of 109662720 in words is "one hundred nine million, six hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 131 160 192 218 240 256 262 320 327 384 393 436 480 512 524 545 640 654 655 768 786 872 960 1048 1090 1280 1308 1310 1536 1572 1635 1744 1920 1965 2096 2180 2560 2616 2620 3144 3270 3488 3840 3930 4192 4360 5232 5240 6288 6540 6976 7680 7860 8384 8720 10464 10480 12576 13080 13952 14279 15720 16768 17440 20928 20960 25152 26160 27904 28558 31440 33536 34880 41856 41920 42837 50304 52320 55808 57116 62880 67072 69760 71395 83712 83840 85674 100608 104640 114232 125760 139520 142790 167424 167680 171348 201216 209280 214185 228464 251520 279040 285580 335360 342696 418560 428370 456928 503040 571160 685392 837120 856740 913856 1006080 1142320 1370784 1713480 1827712 2284640 2741568 3426960 3655424 4569280 5483136 6853920 7310848 9138560 10966272 13707840 18277120 21932544 27415680 36554240 54831360 109662720