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30469120 = 210511541
BaseRepresentation
bin111010000111…
…0110000000000
32010022222202221
41310032300000
530300002440
63005020424
7516661153
oct164166000
963288687
1030469120
11162209a0
12a254714
13640a686
144091c9a
152a1cd4a
hex1d0ec00

30469120 has 88 divisors (see below), whose sum is σ = 79882128. Its totient is φ = 11059200.

The previous prime is 30469099. The next prime is 30469123. The reversal of 30469120 is 2196403.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (30469123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56050 + ... + 56590.

Almost surely, 230469120 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 30469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39941064).

30469120 is an abundant number, since it is smaller than the sum of its proper divisors (49413008).

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

30469120 is a wasteful number, since it uses less digits than its factorization.

30469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 30469120 is about 5519.8840567534. The cubic root of 30469120 is about 312.3345086425.

The spelling of 30469120 in words is "thirty million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 541 640 704 880 1024 1082 1280 1408 1760 2164 2560 2705 2816 3520 4328 5120 5410 5632 5951 7040 8656 10820 11264 11902 14080 17312 21640 23804 28160 29755 34624 43280 47608 56320 59510 69248 86560 95216 119020 138496 173120 190432 238040 276992 346240 380864 476080 553984 692480 761728 952160 1384960 1523456 1904320 2769920 3046912 3808640 6093824 7617280 15234560 30469120