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147016980 = 2232511411811
BaseRepresentation
bin10001100001101…
…00110100010100
3101020122020101100
420300310310110
5300114020410
622331030100
73433423635
oct1060646424
9336566340
10147016980
1175a95040
124129b330
13245c61c6
141574d88c
15cd908c0
hex8c34d14

147016980 has 144 divisors (see below), whose sum is σ = 498633408. Its totient is φ = 34752000.

The previous prime is 147016951. The next prime is 147016981. The reversal of 147016980 is 89610741.

It is a super-2 number, since 2×1470169802 = 43227984816640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147016981) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80275 + ... + 82085.

It is an arithmetic number, because the mean of its divisors is an integer number (3462732).

Almost surely, 2147016980 is an apocalyptic number.

147016980 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 147016980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249316704).

147016980 is an abundant number, since it is smaller than the sum of its proper divisors (351616428).

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

147016980 is a wasteful number, since it uses less digits than its factorization.

147016980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 147016980 is about 12125.0558761599. The cubic root of 147016980 is about 527.7835286867.

The spelling of 147016980 in words is "one hundred forty-seven million, sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1811 1845 1980 2255 2460 2706 3622 3690 4059 4510 5412 5433 6765 7244 7380 8118 9020 9055 10866 13530 16236 16299 18110 19921 20295 21732 27060 27165 32598 36220 39842 40590 54330 59763 65196 74251 79684 81180 81495 99605 108660 119526 148502 162990 179289 199210 222753 239052 297004 298815 325980 358578 371255 398420 445506 597630 668259 717156 742510 816761 891012 896445 1113765 1195260 1336518 1485020 1633522 1792890 2227530 2450283 2673036 3267044 3341295 3585780 4083805 4455060 4900566 6682590 7350849 8167610 9801132 12251415 13365180 14701698 16335220 24502830 29403396 36754245 49005660 73508490 147016980