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114570060 = 223511243367
BaseRepresentation
bin1101101010000…
…11001101001100
321222120202120120
412311003031030
5213312220220
615211344540
72560554333
oct665031514
9258522516
10114570060
1159743200
1232452150
131a975547
1411304d1a
15a0d1a40
hex6d4334c

114570060 has 144 divisors (see below), whose sum is σ = 361794048. Its totient is φ = 27054720.

The previous prime is 114570037. The next prime is 114570083. The reversal of 114570060 is 60075411.

It is an interprime number because it is at equal distance from previous prime (114570037) and next prime (114570083).

It is a self number, because there is not a number n which added to its sum of digits gives 114570060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311997 + ... + 312363.

Almost surely, 2114570060 is an apocalyptic number.

114570060 is a gapful number since it is divisible by the number (10) 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 114570060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180897024).

114570060 is an abundant number, since it is smaller than the sum of its proper divisors (247223988).

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

114570060 is a wasteful number, since it uses less digits than its factorization.

114570060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114570060 is about 10703.7404677057. The cubic root of 114570060 is about 485.6876348040.

The spelling of 114570060 in words is "one hundred fourteen million, five hundred seventy thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 330 363 367 430 473 484 516 605 645 660 726 734 860 946 1101 1210 1290 1419 1452 1468 1815 1835 1892 2202 2365 2420 2580 2838 3630 3670 4037 4404 4730 5203 5505 5676 7095 7260 7340 8074 9460 10406 11010 12111 14190 15609 15781 16148 20185 20812 22020 24222 26015 28380 31218 31562 40370 44407 47343 48444 52030 60555 62436 63124 78045 78905 80740 88814 94686 104060 121110 133221 156090 157810 173591 177628 189372 222035 236715 242220 266442 312180 315620 347182 444070 473430 520773 532884 666105 694364 867955 888140 946860 1041546 1332210 1735910 1909501 2083092 2603865 2664420 3471820 3819002 5207730 5728503 7638004 9547505 10415460 11457006 19095010 22914012 28642515 38190020 57285030 114570060