Search a number
-
+
103178240 = 213511229
BaseRepresentation
bin1100010011001…
…10000000000000
321012010222221022
412021212000000
5202403200430
614123245012
72362000124
oct611460000
9235128838
10103178240
1153272380
122a679768
13184b7319
14d9bb584
1590d14e5
hex6266000

103178240 has 112 divisors (see below), whose sum is σ = 271302480. Its totient is φ = 37355520.

The previous prime is 103178233. The next prime is 103178269. The reversal of 103178240 is 42871301.

It is a congruent number.

It is an unprimeable number.

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, 450446 + ... + 450674.

Almost surely, 2103178240 is an apocalyptic number.

103178240 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 103178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135651240).

103178240 is an abundant number, since it is smaller than the sum of its proper divisors (168124240).

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

103178240 is an equidigital number, since it uses as much as digits as its factorization.

103178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 103178240 is about 10157.6690239444. The cubic root of 103178240 is about 469.0250500726.

The spelling of 103178240 in words is "one hundred three million, one hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 229 256 320 352 440 458 512 640 704 880 916 1024 1145 1280 1408 1760 1832 2048 2290 2519 2560 2816 3520 3664 4096 4580 5038 5120 5632 7040 7328 8192 9160 10076 10240 11264 12595 14080 14656 18320 20152 20480 22528 25190 28160 29312 36640 40304 40960 45056 50380 56320 58624 73280 80608 90112 100760 112640 117248 146560 161216 201520 225280 234496 293120 322432 403040 450560 468992 586240 644864 806080 937984 1172480 1289728 1612160 1875968 2344960 2579456 3224320 4689920 5158912 6448640 9379840 10317824 12897280 20635648 25794560 51589120 103178240