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147420460 = 225111634111
BaseRepresentation
bin10001100100101…
…11010100101100
3101021101201212001
420302113110230
5300214423320
622343422044
73440024155
oct1062272454
9337351761
10147420460
11762401a0
1241454924
1324707a55
141581692c
15ce2020a
hex8c9752c

147420460 has 48 divisors (see below), whose sum is σ = 339881472. Its totient is φ = 53265600.

The previous prime is 147420439. The next prime is 147420467. The reversal of 147420460 is 64024741.

It is a super-2 number, since 2×1474204602 = 43465584053223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (147420467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33805 + ... + 37915.

It is an arithmetic number, because the mean of its divisors is an integer number (7080864).

Almost surely, 2147420460 is an apocalyptic number.

147420460 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 147420460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169940736).

147420460 is an abundant number, since it is smaller than the sum of its proper divisors (192461012).

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

147420460 is a wasteful number, since it uses less digits than its factorization.

147420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 147420460 is about 12141.6827499322. The cubic root of 147420460 is about 528.2659119341.

The spelling of 147420460 in words is "one hundred forty-seven million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 4111 7172 8222 8965 16444 17930 20555 35860 41110 45221 82220 90442 180884 226105 452210 670093 904420 1340186 2680372 3350465 6700930 7371023 13401860 14742046 29484092 36855115 73710230 147420460