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147059712 = 21036197
BaseRepresentation
bin10001100001111…
…11010000000000
3101020201102000000
420300333100000
5300121402322
622332000000
73433662342
oct1060772000
9336642000
10147059712
1176014158
1241300000
132460c7a7
1415761292
15cd9d3ac
hex8c3f400

147059712 has 154 divisors (see below), whose sum is σ = 442999458. Its totient is φ = 48771072.

The previous prime is 147059687. The next prime is 147059729. The reversal of 147059712 is 217950741.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 746496 = 12096^2 + 864^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746398 + ... + 746594.

Almost surely, 2147059712 is an apocalyptic number.

147059712 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 147059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221499729).

147059712 is an abundant number, since it is smaller than the sum of its proper divisors (295939746).

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

147059712 is an frugal number, since it uses more digits than its factorization.

147059712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 147059712 is about 12126.8178843421. The cubic root of 147059712 is about 527.8346589733.

The spelling of 147059712 in words is "one hundred forty-seven million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 197 216 243 256 288 324 384 394 432 486 512 576 591 648 729 768 788 864 972 1024 1152 1182 1296 1458 1536 1576 1728 1773 1944 2304 2364 2592 2916 3072 3152 3456 3546 3888 4608 4728 5184 5319 5832 6304 6912 7092 7776 9216 9456 10368 10638 11664 12608 13824 14184 15552 15957 18912 20736 21276 23328 25216 27648 28368 31104 31914 37824 41472 42552 46656 47871 50432 56736 62208 63828 75648 82944 85104 93312 95742 100864 113472 124416 127656 143613 151296 170208 186624 191484 201728 226944 248832 255312 287226 302592 340416 373248 382968 453888 510624 574452 605184 680832 746496 765936 907776 1021248 1148904 1361664 1531872 1815552 2042496 2297808 2723328 3063744 4084992 4595616 5446656 6127488 8169984 9191232 12254976 16339968 18382464 24509952 36764928 49019904 73529856 147059712