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117049536 = 263467337
BaseRepresentation
bin1101111101000…
…00100011000000
322011020201210000
412332200203000
5214431041121
615340440000
72620622202
oct676404300
9264221700
10117049536
116008705a
1233249000
131b332ca6
141178c772
15a421526
hex6fa08c0

117049536 has 140 divisors (see below), whose sum is σ = 353195128. Its totient is φ = 38320128.

The previous prime is 117049531. The next prime is 117049549. The reversal of 117049536 is 635940711.

117049536 is a `hidden beast` number, since 11 + 70 + 49 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117049536.

It is not an unprimeable number, because it can be changed into a prime (117049531) 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 19 ways as a sum of consecutive naturals, for example, 347160 + ... + 347496.

Almost surely, 2117049536 is an apocalyptic number.

117049536 is a gapful number since it is divisible by the number (16) 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 117049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176597564).

117049536 is an abundant number, since it is smaller than the sum of its proper divisors (236145592).

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

117049536 is an equidigital number, since it uses as much as digits as its factorization.

117049536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 117049536 is about 10818.9433864865. The cubic root of 117049536 is about 489.1663403393.

The spelling of 117049536 in words is "one hundred seventeen million, forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 337 402 432 536 576 603 648 674 804 864 1011 1072 1206 1296 1348 1608 1728 1809 2022 2144 2412 2592 2696 3033 3216 3618 4044 4288 4824 5184 5392 5427 6066 6432 7236 8088 9099 9648 10784 10854 12132 12864 14472 16176 18198 19296 21568 21708 22579 24264 27297 28944 32352 36396 38592 43416 45158 48528 54594 57888 64704 67737 72792 86832 90316 97056 109188 115776 135474 145584 173664 180632 194112 203211 218376 270948 291168 347328 361264 406422 436752 541896 582336 609633 722528 812844 873504 1083792 1219266 1445056 1625688 1747008 1828899 2167584 2438532 3251376 3657798 4335168 4877064 6502752 7315596 9754128 13005504 14631192 19508256 29262384 39016512 58524768 117049536