Search a number
-
+
116732504 = 2373192239
BaseRepresentation
bin1101111010100…
…11001001011000
322010122121220002
412331103021120
5214340420004
615325552132
72615132000
oct675231130
9263577802
10116732504
115a98a949
1233115648
131b2518b5
1411709000
15a3ac61e
hex6f53258

116732504 has 64 divisors (see below), whose sum is σ = 268800000. Its totient is φ = 47373984.

The previous prime is 116732501. The next prime is 116732527. The reversal of 116732504 is 405237611.

It is a super-2 number, since 2×1167325042 = 27252954980220032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116732501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51017 + ... + 53255.

It is an arithmetic number, because the mean of its divisors is an integer number (4200000).

Almost surely, 2116732504 is an apocalyptic number.

116732504 is a gapful number since it is divisible by the number (14) 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 116732504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400000).

116732504 is an abundant number, since it is smaller than the sum of its proper divisors (152067496).

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

116732504 is a wasteful number, since it uses less digits than its factorization.

116732504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 116732504 is about 10804.2817438273. The cubic root of 116732504 is about 488.7243006876.

The spelling of 116732504 in words is "one hundred sixteen million, seven hundred thirty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2239 2744 3724 4478 6517 7448 8956 13034 15673 17912 26068 31346 42541 52136 62692 85082 109711 125384 170164 219422 297787 340328 438844 595574 767977 877688 1191148 1535954 2084509 2382296 3071908 4169018 6143816 8338036 14591563 16676072 29183126 58366252 116732504