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116987552 = 25113171151
BaseRepresentation
bin1101111100100…
…01011010100000
322011010120202022
412332101122200
5214422100202
615335241012
72620243403
oct676213240
9264116668
10116987552
1160044530
1233219168
131b310a06
1411773d3a
15a40cea2
hex6f916a0

116987552 has 96 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 50400000.

The previous prime is 116987551. The next prime is 116987567. The reversal of 116987552 is 255789611.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (116987551) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 774677 + ... + 774827.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2116987552 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 116987552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

116987552 is an abundant number, since it is smaller than the sum of its proper divisors (147769696).

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

116987552 is a wasteful number, since it uses less digits than its factorization.

116987552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 151200, while the sum is 44.

The square root of 116987552 is about 10816.0784020827. The cubic root of 116987552 is about 489.0799784987.

The spelling of 116987552 in words is "one hundred sixteen million, nine hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 71 88 124 142 151 176 248 284 302 341 352 496 568 604 682 781 992 1136 1208 1364 1562 1661 2201 2272 2416 2728 3124 3322 4402 4681 4832 5456 6248 6644 8804 9362 10721 10912 12496 13288 17608 18724 21442 24211 24992 26576 35216 37448 42884 48422 51491 53152 70432 74896 85768 96844 102982 117931 149792 171536 193688 205964 235862 332351 343072 387376 411928 471724 664702 774752 823856 943448 1329404 1647712 1886896 2658808 3655861 3773792 5317616 7311722 10635232 14623444 29246888 58493776 116987552