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134590720 = 28511379
BaseRepresentation
bin10000000010110…
…11000100000000
3100101020220202111
420001123010000
5233423400340
621204425104
73223000525
oct1001330400
9311226674
10134590720
1169a78000
12390a8194
1321b651a4
1413c3714c
15bc38aea
hex805b100

134590720 has 144 divisors (see below), whose sum is σ = 359089920. Its totient is φ = 48322560.

The previous prime is 134590669. The next prime is 134590721. The reversal of 134590720 is 27095431.

It is a super-2 number, since 2×1345907202 = 36229323820236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134590721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703641 + ... + 1703719.

It is an arithmetic number, because the mean of its divisors is an integer number (2493680).

Almost surely, 2134590720 is an apocalyptic number.

134590720 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 134590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179544960).

134590720 is an abundant number, since it is smaller than the sum of its proper divisors (224499200).

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

134590720 is an frugal number, since it uses more digits than its factorization.

134590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 134590720 is about 11601.3240623646. The cubic root of 134590720 is about 512.4738451852.

The spelling of 134590720 in words is "one hundred thirty-four million, five hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 121 128 158 160 176 220 242 256 316 320 352 395 440 484 605 632 640 704 790 869 880 968 1210 1264 1280 1331 1408 1580 1738 1760 1936 2420 2528 2662 2816 3160 3476 3520 3872 4345 4840 5056 5324 6320 6655 6952 7040 7744 8690 9559 9680 10112 10648 12640 13310 13904 14080 15488 17380 19118 19360 20224 21296 25280 26620 27808 30976 34760 38236 38720 42592 47795 50560 53240 55616 69520 76472 77440 85184 95590 101120 105149 106480 111232 139040 152944 154880 170368 191180 210298 212960 222464 278080 305888 340736 382360 420596 425920 525745 556160 611776 764720 841192 851840 1051490 1112320 1223552 1529440 1682384 1703680 2102980 2447104 3058880 3364768 4205960 6117760 6729536 8411920 12235520 13459072 16823840 26918144 33647680 67295360 134590720