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147263480 = 235713231759
BaseRepresentation
bin10001100011100…
…00111111111000
3101021002202111222
420301300333320
5300144412410
622340211212
73435501410
oct1061607770
9337082458
10147263480
1176143261
1241399b08
1324681470
14157b5640
15cddd955
hex8c70ff8

147263480 has 128 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 44554752.

The previous prime is 147263461. The next prime is 147263527. The reversal of 147263480 is 84362741.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 147263480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82841 + ... + 84599.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2147263480 is an apocalyptic number.

147263480 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 147263480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

147263480 is an abundant number, since it is smaller than the sum of its proper divisors (278515720).

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

147263480 is a wasteful number, since it uses less digits than its factorization.

147263480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 147263480 is about 12135.2165205241. The cubic root of 147263480 is about 528.0783381623.

The spelling of 147263480 in words is "one hundred forty-seven million, two hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1759 1820 2093 2392 2990 3220 3518 3640 4186 5980 6440 7036 8372 8795 10465 11960 12313 14072 16744 17590 20930 22867 24626 35180 40457 41860 45734 49252 61565 70360 80914 83720 91468 98504 114335 123130 160069 161828 182936 202285 228670 246260 283199 320138 323656 404570 457340 492520 525941 566398 640276 800345 809140 914680 1051882 1132796 1280552 1415995 1600690 1618280 2103764 2265592 2629705 2831990 3201380 3681587 4207528 5259410 5663980 6402760 7363174 10518820 11327960 14726348 18407935 21037640 29452696 36815870 73631740 147263480