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116399360 = 2857111181
BaseRepresentation
bin1101111000000…
…01110100000000
322010000200220102
412330001310000
5214244234420
615314501532
72612243510
oct674016400
9263020812
10116399360
115a782620
1232b948a8
131b16607c
141165d840
15a343a75
hex6f01d00

116399360 has 144 divisors (see below), whose sum is σ = 347905152. Its totient is φ = 36249600.

The previous prime is 116399347. The next prime is 116399363. The reversal of 116399360 is 63993611.

It is a super-2 number, since 2×1163993602 = 27097622016819200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116399363) 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, 97970 + ... + 99150.

It is an arithmetic number, because the mean of its divisors is an integer number (2416008).

Almost surely, 2116399360 is an apocalyptic number.

116399360 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 116399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173952576).

116399360 is an abundant number, since it is smaller than the sum of its proper divisors (231505792).

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

116399360 is a wasteful number, since it uses less digits than its factorization.

116399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 116399360 is about 10788.8535072083. The cubic root of 116399360 is about 488.2589327285.

It can be divided in two parts, 1 and 16399360, that added together give a palindrome (16399361).

The spelling of 116399360 in words is "one hundred sixteen million, three hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1181 1232 1280 1408 1540 1760 1792 2240 2362 2464 2816 3080 3520 4480 4724 4928 5905 6160 7040 8267 8960 9448 9856 11810 12320 12991 14080 16534 18896 19712 23620 24640 25982 33068 37792 41335 47240 49280 51964 64955 66136 75584 82670 90937 94480 98560 103928 129910 132272 151168 165340 181874 188960 207856 259820 264544 302336 330680 363748 377920 415712 454685 519640 529088 661360 727496 755840 831424 909370 1039280 1058176 1322720 1454992 1511680 1662848 1818740 2078560 2116352 2645440 2909984 3325696 3637480 4157120 5290880 5819968 7274960 8314240 10581760 11639936 14549920 16628480 23279872 29099840 58199680 116399360