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134010420 = 223519223269
BaseRepresentation
bin1111111110011…
…01011000110100
3100100011102201220
413333031120310
5233301313140
621144150340
73215032635
oct777153064
9310142656
10134010420
1169711015
1238a683b0
13219c100b
1413b2588c
15bb71bd0
hex7fcd634

134010420 has 144 divisors (see below), whose sum is σ = 414771840. Its totient is φ = 32262912.

The previous prime is 134010419. The next prime is 134010433. The reversal of 134010420 is 24010431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 134010420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498046 + ... + 498314.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2134010420 is an apocalyptic number.

134010420 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 134010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

134010420 is an abundant number, since it is smaller than the sum of its proper divisors (280761420).

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

134010420 is a wasteful number, since it uses less digits than its factorization.

134010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134010420 is about 11576.2869694907. The cubic root of 134010420 is about 511.7362584111.

Adding to 134010420 its reverse (24010431), we get a palindrome (158020851).

The spelling of 134010420 in words is "one hundred thirty-four million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 269 276 285 345 361 380 437 460 538 570 690 722 807 874 1076 1083 1140 1311 1345 1380 1444 1614 1748 1805 2166 2185 2622 2690 3228 3610 4035 4332 4370 5111 5244 5380 5415 6187 6555 7220 8070 8303 8740 10222 10830 12374 13110 15333 16140 16606 18561 20444 21660 24748 24909 25555 26220 30666 30935 33212 37122 41515 49818 51110 61332 61870 74244 76665 83030 92805 97109 99636 102220 117553 123740 124545 153330 166060 185610 194218 235106 249090 291327 306660 352659 371220 388436 470212 485545 498180 582654 587765 705318 971090 1165308 1175530 1410636 1456635 1763295 1942180 2233507 2351060 2913270 3526590 4467014 5826540 6700521 7053180 8934028 11167535 13401042 22335070 26802084 33502605 44670140 67005210 134010420