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116969472 = 2123219167
BaseRepresentation
bin1101111100011…
…01000000000000
322011002122221200
412332031000000
5214421010342
615335021200
72620136604
oct676150000
9264078850
10116969472
1160031994
123320a800
131b305709
141176b504
15a40794c
hex6f8d000

116969472 has 156 divisors (see below), whose sum is σ = 357782880. Its totient is φ = 36716544.

The previous prime is 116969431. The next prime is 116969477. The reversal of 116969472 is 274969611.

116969472 is a `hidden beast` number, since 116 + 9 + 69 + 472 = 666.

Its product of digits (163296) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116969477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700333 + ... + 700499.

It is an arithmetic number, because the mean of its divisors is an integer number (2293480).

Almost surely, 2116969472 is an apocalyptic number.

116969472 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 116969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178891440).

116969472 is an abundant number, since it is smaller than the sum of its proper divisors (240813408).

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

116969472 is a wasteful number, since it uses less digits than its factorization.

116969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 116969472 is about 10815.2425770299. The cubic root of 116969472 is about 489.0547820243.

The spelling of 116969472 in words is "one hundred sixteen million, nine hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 167 171 192 228 256 288 304 334 342 384 456 501 512 576 608 668 684 768 912 1002 1024 1152 1216 1336 1368 1503 1536 1824 2004 2048 2304 2432 2672 2736 3006 3072 3173 3648 4008 4096 4608 4864 5344 5472 6012 6144 6346 7296 8016 9216 9519 9728 10688 10944 12024 12288 12692 14592 16032 18432 19038 19456 21376 21888 24048 25384 28557 29184 32064 36864 38076 38912 42752 43776 48096 50768 57114 58368 64128 76152 77824 85504 87552 96192 101536 114228 116736 128256 152304 171008 175104 192384 203072 228456 233472 256512 304608 342016 350208 384768 406144 456912 513024 609216 684032 700416 769536 812288 913824 1026048 1218432 1539072 1624576 1827648 2052096 2436864 3078144 3249152 3655296 4873728 6156288 6498304 7310592 9747456 12996608 14621184 19494912 29242368 38989824 58484736 116969472