Search a number
-
+
116421408 = 25331271061
BaseRepresentation
bin1101111000001…
…11001100100000
322010001211011000
412330013030200
5214300441113
615315152000
72612365005
oct674071440
9263054130
10116421408
115a798144
1232ba5600
131b17310c
14116678ac
15a34a373
hex6f07320

116421408 has 96 divisors (see below), whose sum is σ = 342558720. Its totient is φ = 38465280.

The previous prime is 116421373. The next prime is 116421433. The reversal of 116421408 is 804124611.

It is a happy number.

116421408 is a `hidden beast` number, since 1 + 1 + 642 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109198 + ... + 110258.

It is an arithmetic number, because the mean of its divisors is an integer number (3568320).

Almost surely, 2116421408 is an apocalyptic number.

116421408 is a gapful number since it is divisible by the number (18) 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 116421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171279360).

116421408 is an abundant number, since it is smaller than the sum of its proper divisors (226137312).

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

116421408 is a wasteful number, since it uses less digits than its factorization.

116421408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 116421408 is about 10789.8752541445. The cubic root of 116421408 is about 488.2897589384.

The spelling of 116421408 in words is "one hundred sixteen million, four hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1061 1143 1524 2032 2122 2286 3048 3183 3429 4064 4244 4572 6096 6366 6858 8488 9144 9549 12192 12732 13716 16976 18288 19098 25464 27432 28647 33952 36576 38196 50928 54864 57294 76392 101856 109728 114588 134747 152784 229176 269494 305568 404241 458352 538988 808482 916704 1077976 1212723 1616964 2155952 2425446 3233928 3638169 4311904 4850892 6467856 7276338 9701784 12935712 14552676 19403568 29105352 38807136 58210704 116421408