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30897120 = 2535591091
BaseRepresentation
bin111010111011…
…1001111100000
32011010201212210
41311313033200
530402201440
63022122120
7523423032
oct165671740
964121783
1030897120
1116493511
12a420340
13652a427
144163c52
152aa4a80
hex1d773e0

30897120 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 8092160.

The previous prime is 30897107. The next prime is 30897121. The reversal of 30897120 is 2179803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30897121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27775 + ... + 28865.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 230897120 is an apocalyptic number.

30897120 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 30897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

30897120 is an abundant number, since it is smaller than the sum of its proper divisors (68169120).

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

30897120 is a wasteful number, since it uses less digits than its factorization.

30897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 30897120 is about 5558.5177880439. The cubic root of 30897120 is about 313.7901690870.

The spelling of 30897120 in words is "thirty million, eight hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1091 1180 1416 1770 1888 2182 2360 2832 3273 3540 4364 4720 5455 5664 6546 7080 8728 9440 10910 13092 14160 16365 17456 21820 26184 28320 32730 34912 43640 52368 64369 65460 87280 104736 128738 130920 174560 193107 257476 261840 321845 386214 514952 523680 643690 772428 965535 1029904 1287380 1544856 1931070 2059808 2574760 3089712 3862140 5149520 6179424 7724280 10299040 15448560 30897120