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116284560 = 24357193643
BaseRepresentation
bin1101110111001…
…01110010010000
322002210212102120
412323211302100
5214232101220
615312214240
72611255020
oct673456220
9262725376
10116284560
115a704347
1232b3a380
131b125a42
141162da80
15a31ea40
hex6ee5c90

116284560 has 160 divisors (see below), whose sum is σ = 433781760. Its totient is φ = 25173504.

The previous prime is 116284549. The next prime is 116284583. The reversal of 116284560 is 65482611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30099 + ... + 33741.

It is an arithmetic number, because the mean of its divisors is an integer number (2711136).

Almost surely, 2116284560 is an apocalyptic number.

116284560 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 116284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216890880).

116284560 is an abundant number, since it is smaller than the sum of its proper divisors (317497200).

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

116284560 is a wasteful number, since it uses less digits than its factorization.

116284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 116284560 is about 10783.5318889499. The cubic root of 116284560 is about 488.0983632233.

The spelling of 116284560 in words is "one hundred sixteen million, two hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3643 3990 4560 5320 6384 7286 7980 10640 10929 14572 15960 18215 21858 25501 29144 31920 36430 43716 51002 54645 58288 69217 72860 76503 87432 102004 109290 127505 138434 145720 153006 174864 204008 207651 218580 255010 276868 291440 306012 346085 382515 408016 415302 437160 484519 510020 553736 612024 692170 765030 830604 874320 969038 1020040 1038255 1107472 1224048 1384340 1453557 1530060 1661208 1938076 2040080 2076510 2422595 2768680 2907114 3060120 3322416 3876152 4153020 4845190 5537360 5814228 6120240 7267785 7752304 8306040 9690380 11628456 14535570 16612080 19380760 23256912 29071140 38761520 58142280 116284560