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134407020 = 223511414967
BaseRepresentation
bin10000000001011…
…10001101101100
3100100220120202210
420000232031230
5233402011040
621200450420
73221304126
oct1000561554
9310816683
10134407020
1169961a90
1239019a10
1321acc6a7
1413bca216
15bbee480
hex802e36c

134407020 has 96 divisors (see below), whose sum is σ = 420650496. Its totient is φ = 31782400.

The previous prime is 134406997. The next prime is 134407073. The reversal of 134407020 is 20704431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24577 + ... + 29543.

It is an arithmetic number, because the mean of its divisors is an integer number (4381776).

Almost surely, 2134407020 is an apocalyptic number.

134407020 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 134407020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210325248).

134407020 is an abundant number, since it is smaller than the sum of its proper divisors (286243476).

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

134407020 is a wasteful number, since it uses less digits than its factorization.

134407020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 134407020 is about 11593.4041592623. The cubic root of 134407020 is about 512.2405841589.

The spelling of 134407020 in words is "one hundred thirty-four million, four hundred seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 4967 5412 6765 9020 9934 13530 14901 19868 24835 27060 29802 49670 54637 59604 74505 99340 109274 149010 163911 203647 218548 273185 298020 327822 407294 546370 610941 655644 814588 819555 1018235 1092740 1221882 1639110 2036470 2240117 2443764 3054705 3278220 4072940 4480234 6109410 6720351 8960468 11200585 12218820 13440702 22401170 26881404 33601755 44802340 67203510 134407020