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30813480 = 23335103277
BaseRepresentation
bin111010110001…
…0110100101000
32010222111011000
41311202310220
530342012410
63020235000
7522624135
oct165426450
963874130
1030813480
1116436695
12a39ba60
1364cb339
14414158c
152a89dc0
hex1d62d28

30813480 has 128 divisors (see below), whose sum is σ = 104083200. Its totient is φ = 8107776.

The previous prime is 30813467. The next prime is 30813481. The reversal of 30813480 is 8431803.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30813481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111102 + ... + 111378.

It is an arithmetic number, because the mean of its divisors is an integer number (813150).

Almost surely, 230813480 is an apocalyptic number.

30813480 is a gapful number since it is divisible by the number (30) 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 30813480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52041600).

30813480 is an abundant number, since it is smaller than the sum of its proper divisors (73269720).

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

30813480 is a wasteful number, since it uses less digits than its factorization.

30813480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30813480 is about 5550.9891010522. The cubic root of 30813480 is about 313.5067648090.

It can be divided in two parts, 3081 and 3480, that added together give a 8-th power (6561 = 38).

The spelling of 30813480 in words is "thirty million, eight hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 277 309 360 412 515 540 554 618 824 831 927 1030 1080 1108 1236 1385 1545 1662 1854 2060 2216 2472 2493 2770 2781 3090 3324 3708 4120 4155 4635 4986 5540 5562 6180 6648 7416 7479 8310 9270 9972 11080 11124 12360 12465 13905 14958 16620 18540 19944 22248 24930 27810 28531 29916 33240 37080 37395 49860 55620 57062 59832 74790 85593 99720 111240 114124 142655 149580 171186 228248 256779 285310 299160 342372 427965 513558 570620 684744 770337 855930 1027116 1141240 1283895 1540674 1711860 2054232 2567790 3081348 3423720 3851685 5135580 6162696 7703370 10271160 15406740 30813480