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134430720 = 21435547
BaseRepresentation
bin10000000001101…
…00000000000000
3100100221210021120
420000310000000
5233403240340
621201152240
73221433204
oct1000640000
9310853246
10134430720
1169978876
123902b680
1321b0a408
1413bd4b04
15bc064d0
hex8034000

134430720 has 120 divisors (see below), whose sum is σ = 430951584. Its totient is φ = 35782656.

The previous prime is 134430707. The next prime is 134430727. The reversal of 134430720 is 27034431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134430727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245487 + ... + 246033.

Almost surely, 2134430720 is an apocalyptic number.

134430720 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 134430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215475792).

134430720 is an abundant number, since it is smaller than the sum of its proper divisors (296520864).

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

134430720 is an frugal number, since it uses more digits than its factorization.

134430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 134430720 is about 11594.4262471241. The cubic root of 134430720 is about 512.2706901964.

The spelling of 134430720 in words is "one hundred thirty-four million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 547 640 768 960 1024 1094 1280 1536 1641 1920 2048 2188 2560 2735 3072 3282 3840 4096 4376 5120 5470 6144 6564 7680 8192 8205 8752 10240 10940 12288 13128 15360 16384 16410 17504 20480 21880 24576 26256 30720 32820 35008 40960 43760 49152 52512 61440 65640 70016 81920 87520 105024 122880 131280 140032 175040 210048 245760 262560 280064 350080 420096 525120 560128 700160 840192 1050240 1120256 1400320 1680384 2100480 2240512 2800640 3360768 4200960 4481024 5601280 6721536 8401920 8962048 11202560 13443072 16803840 22405120 26886144 33607680 44810240 67215360 134430720