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30138780 = 2235773983
BaseRepresentation
bin111001011111…
…0000110011100
32002201012122010
41302332012130
530203420110
62553551220
7514114110
oct162760634
962635563
1030138780
1116015791
12a115510
1363231c9
144007740
1529a5020
hex1cbe19c

30138780 has 96 divisors (see below), whose sum is σ = 97864704. Its totient is φ = 6787584.

The previous prime is 30138709. The next prime is 30138791. The reversal of 30138780 is 8783103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30169 + ... + 31151.

It is an arithmetic number, because the mean of its divisors is an integer number (1019424).

Almost surely, 230138780 is an apocalyptic number.

30138780 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 30138780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48932352).

30138780 is an abundant number, since it is smaller than the sum of its proper divisors (67725924).

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

30138780 is a wasteful number, since it uses less digits than its factorization.

30138780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 30138780 is about 5489.8797801045. The cubic root of 30138780 is about 311.2016489142.

The spelling of 30138780 in words is "thirty million, one hundred thirty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 983 1022 1095 1460 1533 1966 2044 2190 2555 2949 3066 3932 4380 4915 5110 5898 6132 6881 7665 9830 10220 11796 13762 14745 15330 19660 20643 27524 29490 30660 34405 41286 58980 68810 71759 82572 103215 137620 143518 206430 215277 287036 358795 412860 430554 502313 717590 861108 1004626 1076385 1435180 1506939 2009252 2152770 2511565 3013878 4305540 5023130 6027756 7534695 10046260 15069390 30138780