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30076480 = 265729463
BaseRepresentation
bin111001010111…
…0111001000000
32002121001011201
41302232321000
530144421410
62552350544
7513434350
oct162567100
962531151
1030076480
1115a829a5
12a0a5454
136300a45
143dccb60
15299183a
hex1caee40

30076480 has 112 divisors (see below), whose sum is σ = 84856320. Its totient is φ = 9934848.

The previous prime is 30076469. The next prime is 30076481. The reversal of 30076480 is 8467003.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30076481) 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, 64729 + ... + 65191.

Almost surely, 230076480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428160).

30076480 is an abundant number, since it is smaller than the sum of its proper divisors (54779840).

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

30076480 is a wasteful number, since it uses less digits than its factorization.

30076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 30076480 is about 5484.2027679509. The cubic root of 30076480 is about 310.9870722459.

The spelling of 30076480 in words is "thirty million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 463 464 560 580 812 926 928 1015 1120 1160 1624 1852 1856 2030 2240 2315 2320 3241 3248 3704 4060 4630 4640 6482 6496 7408 8120 9260 9280 12964 12992 13427 14816 16205 16240 18520 25928 26854 29632 32410 32480 37040 51856 53708 64820 64960 67135 74080 93989 103712 107416 129640 134270 148160 187978 207424 214832 259280 268540 375956 429664 469945 518560 537080 751912 859328 939890 1037120 1074160 1503824 1879780 2148320 3007648 3759560 4296640 6015296 7519120 15038240 30076480