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30010240 = 275133607
BaseRepresentation
bin111001001111…
…0101110000000
32002110200022101
41302132232000
530140311430
62551120144
7513040261
oct162365600
962420271
1030010240
1115a38157
12a073054
1362a9850
143db2968
15297bdca
hex1c9eb80

30010240 has 64 divisors (see below), whose sum is σ = 77283360. Its totient is φ = 11077632.

The previous prime is 30010229. The next prime is 30010241. The reversal of 30010240 is 4201003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×300102402 = 1801229009715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30010241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6517 + ... + 10123.

Almost surely, 230010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38641680).

30010240 is an abundant number, since it is smaller than the sum of its proper divisors (47273120).

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

30010240 is a wasteful number, since it uses less digits than its factorization.

30010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30010240 is about 5478.1602751289. The cubic root of 30010240 is about 310.7585999747.

Adding to 30010240 its reverse (4201003), we get a palindrome (34211243).

The spelling of 30010240 in words is "thirty million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 3607 4160 7214 8320 14428 18035 28856 36070 46891 57712 72140 93782 115424 144280 187564 230848 234455 288560 375128 461696 468910 577120 750256 937820 1154240 1500512 1875640 2308480 3001024 3751280 6002048 7502560 15005120 30010240