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30545520 = 2435137929
BaseRepresentation
bin111010010000…
…1011001110000
32010110212120120
41310201121300
530304424040
63010410240
7520426665
oct164413160
963425516
1030545520
1116273335
12a290980
136436395
1440b1a6c
152a357d0
hex1d21670

30545520 has 80 divisors (see below), whose sum is σ = 95484960. Its totient is φ = 8077312.

The previous prime is 30545507. The next prime is 30545551. The reversal of 30545520 is 2554503.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32416 + ... + 33344.

It is an arithmetic number, because the mean of its divisors is an integer number (1193562).

Almost surely, 230545520 is an apocalyptic number.

30545520 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 30545520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742480).

30545520 is an abundant number, since it is smaller than the sum of its proper divisors (64939440).

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

30545520 is a wasteful number, since it uses less digits than its factorization.

30545520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 30545520 is about 5526.8001592241. The cubic root of 30545520 is about 312.5953458397.

The spelling of 30545520 in words is "thirty million, five hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 929 1096 1370 1644 1858 2055 2192 2740 2787 3288 3716 4110 4645 5480 5574 6576 7432 8220 9290 10960 11148 13935 14864 16440 18580 22296 27870 32880 37160 44592 55740 74320 111480 127273 222960 254546 381819 509092 636365 763638 1018184 1272730 1527276 1909095 2036368 2545460 3054552 3818190 5090920 6109104 7636380 10181840 15272760 30545520