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30095640 = 23325412039
BaseRepresentation
bin111001011001…
…1100100011000
32002122000110100
41302303210120
530201030030
62553015400
7513544251
oct162634430
962560410
1030095640
1115a96333
12a0b4560
136309693
143dd5b28
152997360
hex1cb3918

30095640 has 96 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 7825920.

The previous prime is 30095633. The next prime is 30095669. The reversal of 30095640 is 4659003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13741 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 230095640 is an apocalyptic number.

30095640 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 30095640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

30095640 is an abundant number, since it is smaller than the sum of its proper divisors (70149960).

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

30095640 is a wasteful number, since it uses less digits than its factorization.

30095640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 30095640 is about 5485.9493253219. The cubic root of 30095640 is about 311.0530955690.

It can be divided in two parts, 3009 and 5640, that added together give a square (8649 = 932).

The spelling of 30095640 in words is "thirty million, ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2039 2460 2952 3690 4078 4920 6117 7380 8156 10195 12234 14760 16312 18351 20390 24468 30585 36702 40780 48936 61170 73404 81560 83599 91755 122340 146808 167198 183510 244680 250797 334396 367020 417995 501594 668792 734040 752391 835990 1003188 1253985 1504782 1671980 2006376 2507970 3009564 3343960 3761955 5015940 6019128 7523910 10031880 15047820 30095640