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116466432 = 2831391091
BaseRepresentation
bin1101111000100…
…10001100000000
322010011002220120
412330102030000
5214303411212
615320140240
72612643165
oct674221400
9263132816
10116466432
115a818a55
1233007680
131b18a764
141167a06c
15a35888c
hex6f12300

116466432 has 72 divisors (see below), whose sum is σ = 312486720. Its totient is φ = 38507520.

The previous prime is 116466401. The next prime is 116466437. The reversal of 116466432 is 234664611.

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

It is a junction number, because it is equal to n+sod(n) for n = 116466393 and 116466402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116466437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106207 + ... + 107297.

Almost surely, 2116466432 is an apocalyptic number.

116466432 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 116466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156243360).

116466432 is an abundant number, since it is smaller than the sum of its proper divisors (196020288).

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

116466432 is a wasteful number, since it uses less digits than its factorization.

116466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 116466432 is about 10791.9614528593. The cubic root of 116466432 is about 488.3526967463.

The spelling of 116466432 in words is "one hundred sixteen million, four hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1091 1112 1668 2182 2224 3273 3336 4364 4448 6546 6672 8728 8896 13092 13344 17456 17792 26184 26688 34912 35584 52368 53376 69824 104736 106752 139648 151649 209472 279296 303298 418944 454947 606596 837888 909894 1213192 1819788 2426384 3639576 4852768 7279152 9705536 14558304 19411072 29116608 38822144 58233216 116466432