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116419632 = 24373111177
BaseRepresentation
bin1101111000001…
…10110000110000
322010001201201020
412330012300300
5214300412012
615315135440
72612356560
oct674066060
9263051636
10116419632
115a79687a
1232ba4580
131b172374
1411666da0
15a349a8c
hex6f06c30

116419632 has 80 divisors (see below), whose sum is σ = 354834432. Its totient is φ = 32186880.

The previous prime is 116419613. The next prime is 116419673. The reversal of 116419632 is 236914611.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116419593 and 116419602.

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, 4828 + ... + 16004.

Almost surely, 2116419632 is an apocalyptic number.

116419632 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 116419632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177417216).

116419632 is an abundant number, since it is smaller than the sum of its proper divisors (238414800).

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

116419632 is a wasteful number, since it uses less digits than its factorization.

116419632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226 (or 11220 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 116419632 is about 10789.7929544547. The cubic root of 116419632 is about 488.2872759843.

The spelling of 116419632 in words is "one hundred sixteen million, four hundred nineteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 11177 22354 33531 44708 67062 78239 89416 134124 156478 178832 234717 268248 312956 346487 469434 536496 625912 692974 938868 1039461 1251824 1385948 1877736 2078922 2425409 2771896 3755472 4157844 4850818 5543792 7276227 8315688 9701636 14552454 16631376 19403272 29104908 38806544 58209816 116419632