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30035040 = 2535721277
BaseRepresentation
bin111001010010…
…0110001100000
32002111221022220
41302210301200
530142110130
62551431040
7513202500
oct162446140
962457286
1030035040
1115a54852
12a085480
1362b7c19
143dbba00
152984410
hex1ca4c60

30035040 has 144 divisors (see below), whose sum is σ = 110143152. Its totient is φ = 6859776.

The previous prime is 30035023. The next prime is 30035041. The reversal of 30035040 is 4053003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30035041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22882 + ... + 24158.

It is an arithmetic number, because the mean of its divisors is an integer number (764883).

Almost surely, 230035040 is an apocalyptic number.

30035040 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 30035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55071576).

30035040 is an abundant number, since it is smaller than the sum of its proper divisors (80108112).

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

30035040 is a wasteful number, since it uses less digits than its factorization.

30035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 30035040 is about 5480.4233413122. The cubic root of 30035040 is about 310.8441784453.

Adding to 30035040 its reverse (4053003), we get a palindrome (34088043).

The spelling of 30035040 in words is "thirty million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1277 1470 1568 1680 1960 2352 2554 2940 3360 3831 3920 4704 5108 5880 6385 7662 7840 8939 10216 11760 12770 15324 17878 19155 20432 23520 25540 26817 30648 35756 38310 40864 44695 51080 53634 61296 62573 71512 76620 89390 102160 107268 122592 125146 134085 143024 153240 178780 187719 204320 214536 250292 268170 286048 306480 312865 357560 375438 429072 500584 536340 612960 625730 715120 750876 858144 938595 1001168 1072680 1251460 1430240 1501752 1877190 2002336 2145360 2502920 3003504 3754380 4290720 5005840 6007008 7508760 10011680 15017520 30035040