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147955860 = 2232513531193
BaseRepresentation
bin10001101000110…
…10000010010100
3101022101221021200
420310122002110
5300334041420
622403112500
73444414123
oct1064320224
9338357250
10147955860
1176576478
1241672730
1324864660
1415915aba
15cec8b90
hex8d1a094

147955860 has 144 divisors (see below), whose sum is σ = 492854544. Its totient is φ = 35702784.

The previous prime is 147955823. The next prime is 147955867. The reversal of 147955860 is 68559741.

147955860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3090564 + 144865296 = 1758^2 + 12036^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147955867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123424 + ... + 124616.

It is an arithmetic number, because the mean of its divisors is an integer number (3422601).

Almost surely, 2147955860 is an apocalyptic number.

147955860 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 147955860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246427272).

147955860 is an abundant number, since it is smaller than the sum of its proper divisors (344898684).

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

147955860 is a wasteful number, since it uses less digits than its factorization.

147955860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 147955860 is about 12163.7107824874. The cubic root of 147955860 is about 528.9046560658.

The spelling of 147955860 in words is "one hundred forty-seven million, nine hundred fifty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1193 1378 1590 1908 2067 2340 2385 2386 2756 3180 3445 3579 4134 4770 4772 5965 6201 6890 7158 8268 9540 10335 10737 11930 12402 13780 14316 15509 17895 20670 21474 23860 24804 31005 31018 35790 41340 42948 46527 53685 62010 62036 63229 71580 77545 93054 107370 124020 126458 139581 155090 186108 189687 214740 232635 252916 279162 310180 316145 379374 465270 558324 569061 632290 697905 758748 821977 930540 948435 1138122 1264580 1395810 1643954 1896870 2276244 2465931 2791620 2845305 3287908 3793740 4109885 4931862 5690610 7397793 8219770 9863724 11381220 12329655 14795586 16439540 24659310 29591172 36988965 49318620 73977930 147955860