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116732304 = 243213127491
BaseRepresentation
bin1101111010100…
…11000110010000
322010122121121200
412331103012100
5214340413204
615325551200
72615131263
oct675230620
9263577550
10116732304
115a98a787
1233115500
131b251790
1411708cda
15a3ac539
hex6f53190

116732304 has 120 divisors (see below), whose sum is σ = 355310592. Its totient is φ = 35562240.

The previous prime is 116732263. The next prime is 116732321. The reversal of 116732304 is 403237611.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237499 + ... + 237989.

Almost surely, 2116732304 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 116732304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655296).

116732304 is an abundant number, since it is smaller than the sum of its proper divisors (238578288).

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

116732304 is a wasteful number, since it uses less digits than its factorization.

116732304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 116732304 is about 10804.2724882335. The cubic root of 116732304 is about 488.7240215739.

Adding to 116732304 its reverse (403237611), we get a palindrome (519969915).

The spelling of 116732304 in words is "one hundred sixteen million, seven hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 381 468 491 508 624 762 936 982 1016 1143 1473 1524 1651 1872 1964 2032 2286 2946 3048 3302 3928 4419 4572 4953 5892 6096 6383 6604 7856 8838 9144 9906 11784 12766 13208 14859 17676 18288 19149 19812 23568 25532 26416 29718 35352 38298 39624 51064 57447 59436 62357 70704 76596 79248 102128 114894 118872 124714 153192 187071 229788 237744 249428 306384 374142 459576 498856 561213 748284 810641 919152 997712 1122426 1496568 1621282 2244852 2431923 2993136 3242564 4489704 4863846 6485128 7295769 8979408 9727692 12970256 14591538 19455384 29183076 38910768 58366152 116732304