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107504180 = 22576773157
BaseRepresentation
bin1100110100001…
…10001000110100
321111021210000022
412122012020310
5210010113210
614400104312
72443525160
oct632061064
9244253008
10107504180
1155757533
1230005098
1319370354
14103c5ca0
159688155
hex6686234

107504180 has 96 divisors (see below), whose sum is σ = 267138816. Its totient is φ = 35582976.

The previous prime is 107504179. The next prime is 107504207. The reversal of 107504180 is 81405701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 684662 + ... + 684818.

It is an arithmetic number, because the mean of its divisors is an integer number (2782696).

Almost surely, 2107504180 is an apocalyptic number.

107504180 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 107504180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133569408).

107504180 is an abundant number, since it is smaller than the sum of its proper divisors (159634636).

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

107504180 is a wasteful number, since it uses less digits than its factorization.

107504180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 107504180 is about 10368.4222522040. The cubic root of 107504180 is about 475.4904334389.

Adding to 107504180 its reverse (81405701), we get a palindrome (188909881).

The spelling of 107504180 in words is "one hundred seven million, five hundred four thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 73 134 140 146 157 268 292 314 335 365 469 511 628 670 730 785 938 1022 1099 1340 1460 1570 1876 2044 2198 2345 2555 3140 4396 4690 4891 5110 5495 9380 9782 10220 10519 10990 11461 19564 21038 21980 22922 24455 34237 42076 45844 48910 52595 57305 68474 73633 80227 97820 105190 114610 136948 147266 160454 171185 210380 229220 294532 320908 342370 368165 401135 684740 736330 767887 802270 1472660 1535774 1604540 3071548 3839435 5375209 7678870 10750418 15357740 21500836 26876045 53752090 107504180