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30119104 = 2617193147
BaseRepresentation
bin111001011100…
…1010011000000
32002200012122101
41302321103000
530202302404
62553320144
7514002541
oct162712300
962605571
1030119104
1116001a24
12a106054
136317272
1440004c8
15299e2a4
hex1cb94c0

30119104 has 112 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 12718080.

The previous prime is 30119101. The next prime is 30119107. The reversal of 30119104 is 40191103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30119101) and next prime (30119107).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (30119101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640809 + ... + 640855.

Almost surely, 230119104 is an apocalyptic number.

30119104 is a gapful number since it is divisible by the number (34) 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 30119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).

30119104 is an abundant number, since it is smaller than the sum of its proper divisors (40106816).

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

30119104 is a wasteful number, since it uses less digits than its factorization.

30119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 30119104 is about 5488.0874628599. The cubic root of 30119104 is about 311.1339118588.

The spelling of 30119104 in words is "thirty million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 47 62 64 68 76 94 124 136 152 188 248 272 304 323 376 496 527 544 589 608 646 752 799 893 992 1054 1088 1178 1216 1292 1457 1504 1598 1786 1984 2108 2356 2584 2914 3008 3196 3572 4216 4712 5168 5828 6392 7144 8432 9424 10013 10336 11656 12784 14288 15181 16864 18848 20026 20672 23312 24769 25568 27683 28576 30362 33728 37696 40052 46624 49538 51136 55366 57152 60724 80104 93248 99076 110732 121448 160208 198152 221464 242896 320416 396304 442928 470611 485792 640832 792608 885856 941222 971584 1585216 1771712 1882444 3764888 7529776 15059552 30119104