Search a number
-
+
134227840 = 2751311601
BaseRepresentation
bin10000000000000…
…10011110000000
3100100120110222111
420000002132000
5233330242330
621152545104
73216626545
oct1000023600
9310513874
10134227840
116984a3aa
1238b52194
1321a68c76
1413b80bcc
15bbb632a
hex8002780

134227840 has 64 divisors (see below), whose sum is σ = 323539920. Its totient is φ = 53248000.

The previous prime is 134227789. The next prime is 134227871. The reversal of 134227840 is 48722431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1342278402 = 36034226062131200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83040 + ... + 84640.

Almost surely, 2134227840 is an apocalyptic number.

134227840 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 134227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161769960).

134227840 is an abundant number, since it is smaller than the sum of its proper divisors (189312080).

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

134227840 is a wasteful number, since it uses less digits than its factorization.

134227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 134227840 is about 11585.6739122073. The cubic root of 134227840 is about 512.0128577500.

The spelling of 134227840 in words is "one hundred thirty-four million, two hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 640 655 1048 1310 1601 2096 2620 3202 4192 5240 6404 8005 8384 10480 12808 16010 16768 20960 25616 32020 41920 51232 64040 83840 102464 128080 204928 209731 256160 419462 512320 838924 1024640 1048655 1677848 2097310 3355696 4194620 6711392 8389240 13422784 16778480 26845568 33556960 67113920 134227840