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116436432 = 2437438059
BaseRepresentation
bin1101111000010…
…10110111010000
322010002120202110
412330022313100
5214301431212
615315345320
72612456550
oct674126720
9263076673
10116436432
115a7a8462
1232bb2240
131b179bc8
141166d160
15a34ea3c
hex6f0add0

116436432 has 80 divisors (see below), whose sum is σ = 351802880. Its totient is φ = 32489856.

The previous prime is 116436413. The next prime is 116436469. The reversal of 116436432 is 234634611.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116436432.

It is a congruent number.

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, 10419 + ... + 18477.

It is an arithmetic number, because the mean of its divisors is an integer number (4397536).

Almost surely, 2116436432 is an apocalyptic number.

116436432 is a gapful number since it is divisible by the number (12) 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 116436432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175901440).

116436432 is an abundant number, since it is smaller than the sum of its proper divisors (235366448).

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

116436432 is a wasteful number, since it uses less digits than its factorization.

116436432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8114 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 116436432 is about 10790.5714399192. The cubic root of 116436432 is about 488.3107623773.

The spelling of 116436432 in words is "one hundred sixteen million, four hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 8059 14448 16118 24177 32236 48354 56413 64472 96708 112826 128944 169239 193416 225652 338478 346537 386832 451304 676956 693074 902608 1039611 1353912 1386148 2079222 2425759 2707824 2772296 4158444 4851518 5544592 7277277 8316888 9703036 14554554 16633776 19406072 29109108 38812144 58218216 116436432