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147784014 = 2347194
BaseRepresentation
bin10001100111100…
…00000101001110
3101022002012120000
420303300011032
5300313042024
622355305130
73443100120
oct1063600516
9338065500
10147784014
1176469354
12415ab1a6
1324804381
14158ad210
15ce92cc9
hex8cf014e

147784014 has 100 divisors (see below), whose sum is σ = 399477144. Its totient is φ = 40001688.

The previous prime is 147784003. The next prime is 147784019. The reversal of 147784014 is 410487741.

It is a super-2 number, since 2×1477840142 = 43680229587904392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147784014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147784019) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 7778097 + ... + 7778115.

Almost surely, 2147784014 is an apocalyptic number.

147784014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147784014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199738572).

147784014 is an abundant number, since it is smaller than the sum of its proper divisors (251693130).

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

147784014 is an frugal number, since it uses more digits than its factorization.

147784014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 147784014 is about 12156.6448496285. The cubic root of 147784014 is about 528.6998081223.

It can be divided in two parts, 1477 and 84014, that added together give a triangular number (85491 = T413).

The spelling of 147784014 in words is "one hundred forty-seven million, seven hundred eighty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 361 378 399 513 567 722 798 1026 1083 1134 1197 1539 2166 2394 2527 3078 3249 3591 5054 6498 6859 7182 7581 9747 10773 13718 15162 19494 20577 21546 22743 29241 41154 45486 48013 58482 61731 68229 96026 123462 130321 136458 144039 185193 204687 260642 288078 370386 390963 409374 432117 555579 781926 864234 912247 1111158 1172889 1296351 1824494 2345778 2592702 2736741 3518667 3889053 5473482 7037334 7778106 8210223 10556001 16420446 21112002 24630669 49261338 73892007 147784014