Search a number
-
+
134098440 = 23357263607
BaseRepresentation
bin1111111111000…
…10111000001000
3100100022220110220
413333202320020
5233312122230
621150110040
73215550360
oct777427010
9310286426
10134098440
1169771163
1238aab320
1321a220b8
1413b499a0
15bb8cd10
hex7fe2e08

134098440 has 128 divisors (see below), whose sum is σ = 462274560. Its totient is φ = 30484224.

The previous prime is 134098439. The next prime is 134098463. The reversal of 134098440 is 44890431.

It is a happy number.

It is a super-2 number, since 2×1340984402 = 35964783220867200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220617 + ... + 221223.

It is an arithmetic number, because the mean of its divisors is an integer number (3611520).

Almost surely, 2134098440 is an apocalyptic number.

134098440 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 134098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231137280).

134098440 is an abundant number, since it is smaller than the sum of its proper divisors (328176120).

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

134098440 is a wasteful number, since it uses less digits than its factorization.

134098440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 134098440 is about 11580.0880825666. The cubic root of 134098440 is about 511.8482725053.

The spelling of 134098440 in words is "one hundred thirty-four million, ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 263 280 420 526 607 789 840 1052 1214 1315 1578 1821 1841 2104 2428 2630 3035 3156 3642 3682 3945 4249 4856 5260 5523 6070 6312 7284 7364 7890 8498 9105 9205 10520 11046 12140 12747 14568 14728 15780 16996 18210 18410 21245 22092 24280 25494 27615 31560 33992 36420 36820 42490 44184 50988 55230 63735 72840 73640 84980 101976 110460 127470 159641 169960 220920 254940 319282 478923 509880 638564 798205 957846 1117487 1277128 1596410 1915692 2234974 2394615 3192820 3352461 3831384 4469948 4789230 5587435 6385640 6704922 8939896 9578460 11174870 13409844 16762305 19156920 22349740 26819688 33524610 44699480 67049220 134098440