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134461740 = 22357389823
BaseRepresentation
bin10000000001110…
…11100100101100
3100101000100211110
420000323210230
5233410233430
621201552020
73221622510
oct1000734454
9311010743
10134461740
116999a106
1239045610
1321b1b57a
1413c02140
15bc107b0
hex803b92c

134461740 has 96 divisors (see below), whose sum is σ = 431907840. Its totient is φ = 30617856.

The previous prime is 134461729. The next prime is 134461741. The reversal of 134461740 is 47164431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134461698 and 134461707.

It is not an unprimeable number, because it can be changed into a prime (134461741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162969 + ... + 163791.

It is an arithmetic number, because the mean of its divisors is an integer number (4499040).

Almost surely, 2134461740 is an apocalyptic number.

134461740 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 134461740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215953920).

134461740 is an abundant number, since it is smaller than the sum of its proper divisors (297446100).

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

134461740 is a wasteful number, since it uses less digits than its factorization.

134461740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 134461740 is about 11595.7638816940. The cubic root of 134461740 is about 512.3100894615.

The spelling of 134461740 in words is "one hundred thirty-four million, four hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 389 420 778 823 1167 1556 1646 1945 2334 2469 2723 3292 3890 4115 4668 4938 5446 5761 5835 7780 8169 8230 9876 10892 11522 11670 12345 13615 16338 16460 17283 23044 23340 24690 27230 28805 32676 34566 40845 49380 54460 57610 69132 81690 86415 115220 163380 172830 320147 345660 640294 960441 1280588 1600735 1920882 2241029 3201470 3841764 4482058 4802205 6402940 6723087 8964116 9604410 11205145 13446174 19208820 22410290 26892348 33615435 44820580 67230870 134461740