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134301020 = 22571773773
BaseRepresentation
bin10000000000101…
…00010101011100
3100100201012100212
420000110111130
5233340113040
621154311552
73220353110
oct1000242534
9310635325
10134301020
116989a387
1238b885b8
1321a93379
1413b9d740
15bbccd65
hex801455c

134301020 has 96 divisors (see below), whose sum is σ = 346405248. Its totient is φ = 42688512.

The previous prime is 134301019. The next prime is 134301029. The reversal of 134301020 is 20103431.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 134300986 and 134301004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134301029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173354 + ... + 174126.

It is an arithmetic number, because the mean of its divisors is an integer number (3608388).

Almost surely, 2134301020 is an apocalyptic number.

134301020 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 134301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173202624).

134301020 is an abundant number, since it is smaller than the sum of its proper divisors (212104228).

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

134301020 is a wasteful number, since it uses less digits than its factorization.

134301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 134301020 is about 11588.8316926254. The cubic root of 134301020 is about 512.1058893539.

Adding to 134301020 its reverse (20103431), we get a palindrome (154404451).

The spelling of 134301020 in words is "one hundred thirty-four million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 73 85 119 140 146 170 238 292 340 365 476 511 595 730 773 1022 1190 1241 1460 1546 2044 2380 2482 2555 3092 3865 4964 5110 5411 6205 7730 8687 10220 10822 12410 13141 15460 17374 21644 24820 26282 27055 34748 43435 52564 54110 56429 65705 86870 91987 108220 112858 131410 173740 183974 225716 262820 282145 367948 395003 459935 564290 790006 919870 959293 1128580 1580012 1839740 1918586 1975015 3837172 3950030 4796465 6715051 7900060 9592930 13430102 19185860 26860204 33575255 67150510 134301020