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114710016 = 2931723191
BaseRepresentation
bin1101101011001…
…01011000000000
321222211212120010
412311211120000
5213331210031
615214344520
72562006351
oct665453000
9258755503
10114710016
1159829373
12324bb140
131a9c4165
141133dd28
15a10d246
hex6d65600

114710016 has 160 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 34242560.

The previous prime is 114709997. The next prime is 114710021. The reversal of 114710016 is 610017411.

It is a junction number, because it is equal to n+sod(n) for n = 114709974 and 114710001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600481 + ... + 600671.

Almost surely, 2114710016 is an apocalyptic number.

114710016 is a gapful number since it is divisible by the number (16) 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 114710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

114710016 is an abundant number, since it is smaller than the sum of its proper divisors (224696832).

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

114710016 is a wasteful number, since it uses less digits than its factorization.

114710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 114710016 is about 10710.2761869151. The cubic root of 114710016 is about 485.8853223981.

Adding to 114710016 its reverse (610017411), we get a palindrome (724727427).

The spelling of 114710016 in words is "one hundred fourteen million, seven hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 191 192 204 256 272 276 368 382 384 391 408 512 544 552 573 736 764 768 782 816 1088 1104 1146 1173 1472 1528 1536 1564 1632 2176 2208 2292 2346 2944 3056 3128 3247 3264 4352 4393 4416 4584 4692 5888 6112 6256 6494 6528 8704 8786 8832 9168 9384 9741 11776 12224 12512 12988 13056 13179 17572 17664 18336 18768 19482 24448 25024 25976 26112 26358 35144 35328 36672 37536 38964 48896 50048 51952 52716 70288 73344 74681 75072 77928 97792 100096 103904 105432 140576 146688 149362 150144 155856 200192 207808 210864 224043 281152 293376 298724 300288 311712 415616 421728 448086 562304 597448 600576 623424 831232 843456 896172 1124608 1194896 1246848 1662464 1686912 1792344 2249216 2389792 2493696 3373824 3584688 4779584 4987392 6747648 7169376 9559168 14338752 19118336 28677504 38236672 57355008 114710016