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30861480 = 23351373271
BaseRepresentation
bin111010110111…
…0100010101000
32011001220222210
41311232202220
530400031410
63021245120
7523214106
oct165564250
964056883
1030861480
1116469761
12a4037a0
136517140
144154c76
152a99220
hex1d6e8a8

30861480 has 128 divisors (see below), whose sum is σ = 101445120. Its totient is φ = 7464960.

The previous prime is 30861451. The next prime is 30861503. The reversal of 30861480 is 8416803.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113745 + ... + 114015.

It is an arithmetic number, because the mean of its divisors is an integer number (792540).

Almost surely, 230861480 is an apocalyptic number.

30861480 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 30861480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50722560).

30861480 is an abundant number, since it is smaller than the sum of its proper divisors (70583640).

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

30861480 is a wasteful number, since it uses less digits than its factorization.

30861480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 30861480 is about 5555.3109723939. The cubic root of 30861480 is about 313.6694697634.

The spelling of 30861480 in words is "thirty million, eight hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 73 78 104 120 130 146 156 195 219 260 271 292 312 365 390 438 520 542 584 730 780 813 876 949 1084 1095 1355 1460 1560 1626 1752 1898 2168 2190 2710 2847 2920 3252 3523 3796 4065 4380 4745 5420 5694 6504 7046 7592 8130 8760 9490 10569 10840 11388 14092 14235 16260 17615 18980 19783 21138 22776 28184 28470 32520 35230 37960 39566 42276 52845 56940 59349 70460 79132 84552 98915 105690 113880 118698 140920 158264 197830 211380 237396 257179 296745 395660 422760 474792 514358 593490 771537 791320 1028716 1186980 1285895 1543074 2057432 2373960 2571790 3086148 3857685 5143580 6172296 7715370 10287160 15430740 30861480