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134062320 = 24357199401
BaseRepresentation
bin1111111110110…
…10000011110000
3100100021001221010
413333122003300
5233304443240
621145230520
73215340150
oct777320360
9310231833
10134062320
1169747007
1238a92440
1321a0b822
1413b3a760
15bb82280
hex7fda0f0

134062320 has 160 divisors (see below), whose sum is σ = 478540800. Its totient is φ = 30412800.

The previous prime is 134062319. The next prime is 134062339. The reversal of 134062320 is 23260431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 334120 + ... + 334520.

It is an arithmetic number, because the mean of its divisors is an integer number (2990880).

Almost surely, 2134062320 is an apocalyptic number.

134062320 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 134062320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239270400).

134062320 is an abundant number, since it is smaller than the sum of its proper divisors (344478480).

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

134062320 is a wasteful number, since it uses less digits than its factorization.

134062320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 134062320 is about 11578.5284039035. The cubic root of 134062320 is about 511.8023121899.

The spelling of 134062320 in words is "one hundred thirty-four million, sixty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 199 210 240 280 336 398 401 420 560 597 796 802 840 995 1194 1203 1393 1592 1604 1680 1990 2005 2388 2406 2786 2807 2985 3184 3208 3980 4010 4179 4776 4812 5572 5614 5970 6015 6416 6965 7960 8020 8358 8421 9552 9624 11144 11228 11940 12030 13930 14035 15920 16040 16716 16842 19248 20895 22288 22456 23880 24060 27860 28070 32080 33432 33684 41790 42105 44912 47760 48120 55720 56140 66864 67368 79799 83580 84210 96240 111440 112280 134736 159598 167160 168420 224560 239397 319196 334320 336840 398995 478794 558593 638392 673680 797990 957588 1117186 1196985 1276784 1595980 1675779 1915176 2234372 2393970 2792965 3191960 3351558 3830352 4468744 4787940 5585930 6383920 6703116 8378895 8937488 9575880 11171860 13406232 16757790 19151760 22343720 26812464 33515580 44687440 67031160 134062320