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30787380 = 223251359223
BaseRepresentation
bin111010101110…
…0011100110100
32010221011100100
41311130130310
530340144010
63015514100
7522455061
oct165343464
963834310
1030787380
1116419018
12a388930
1364bc4b0
144135c68
152a822c0
hex1d5c734

30787380 has 144 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 7416576.

The previous prime is 30787373. The next prime is 30787387. The reversal of 30787380 is 8378703.

It is an interprime number because it is at equal distance from previous prime (30787373) and next prime (30787387).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30787387) 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, 137949 + ... + 138171.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 230787380 is an apocalyptic number.

30787380 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 30787380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

30787380 is an abundant number, since it is smaller than the sum of its proper divisors (71947980).

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

30787380 is a wasteful number, since it uses less digits than its factorization.

30787380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 30787380 is about 5548.6376706359. The cubic root of 30787380 is about 313.4182230633.

The spelling of 30787380 in words is "thirty million, seven hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 223 234 236 260 295 354 390 446 468 531 585 590 669 708 767 780 885 892 1062 1115 1170 1180 1338 1534 1770 2007 2124 2230 2301 2340 2655 2676 2899 3068 3345 3540 3835 4014 4460 4602 5310 5798 6690 6903 7670 8028 8697 9204 10035 10620 11505 11596 13157 13380 13806 14495 15340 17394 20070 23010 26091 26314 27612 28990 34515 34788 39471 40140 43485 46020 52182 52628 57980 65785 69030 78942 86970 104364 118413 130455 131570 138060 157884 171041 173940 197355 236826 260910 263140 342082 394710 473652 513123 521820 592065 684164 789420 855205 1026246 1184130 1539369 1710410 2052492 2368260 2565615 3078738 3420820 5131230 6157476 7696845 10262460 15393690 30787380