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30137130 = 2335232211
BaseRepresentation
bin111001011110…
…1101100101010
32002201010101000
41302331230222
530203342010
62553535430
7514106232
oct162755452
962633330
1030137130
1116014521
12a114576
13632252a
144006cc2
1529a47c0
hex1cbdb2a

30137130 has 96 divisors (see below), whose sum is σ = 84409920. Its totient is φ = 7650720.

The previous prime is 30137071. The next prime is 30137131. The reversal of 30137130 is 3173103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30137131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142725 + ... + 142935.

It is an arithmetic number, because the mean of its divisors is an integer number (879270).

Almost surely, 230137130 is an apocalyptic number.

30137130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30137130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42204960).

30137130 is an abundant number, since it is smaller than the sum of its proper divisors (54272790).

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

30137130 is a wasteful number, since it uses less digits than its factorization.

30137130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 30137130 is about 5489.7295015328. The cubic root of 30137130 is about 311.1959697185.

It can be divided in two parts, 301371 and 30, that added together give a square (301401 = 5492).

The spelling of 30137130 in words is "thirty million, one hundred thirty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 211 230 270 345 414 422 529 621 633 690 1035 1055 1058 1242 1266 1587 1899 2070 2110 2645 3105 3165 3174 3798 4761 4853 5290 5697 6210 6330 7935 9495 9522 9706 11394 14283 14559 15870 18990 23805 24265 28485 28566 29118 43677 47610 48530 56970 71415 72795 87354 111619 131031 142830 145590 218385 223238 262062 334857 436770 558095 655155 669714 1004571 1116190 1310310 1674285 2009142 3013713 3348570 5022855 6027426 10045710 15068565 30137130