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30098320 = 245771757
BaseRepresentation
bin111001011010…
…0001110010000
32002122011010121
41302310032100
530201121240
62553040024
7513555130
oct162641620
962564117
1030098320
1115a9834a
12a0b6014
13630a975
143dd6ac0
15299804a
hex1cb4390

30098320 has 80 divisors (see below), whose sum is σ = 81209088. Its totient is φ = 10160640.

The previous prime is 30098297. The next prime is 30098339. The reversal of 30098320 is 2389003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 39382 + ... + 40138.

Almost surely, 230098320 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 30098320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40604544).

30098320 is an abundant number, since it is smaller than the sum of its proper divisors (51110768).

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

30098320 is a wasteful number, since it uses less digits than its factorization.

30098320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

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

The square root of 30098320 is about 5486.1935802522. The cubic root of 30098320 is about 311.0623283300.

The spelling of 30098320 in words is "thirty million, ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 757 994 1136 1420 1514 1988 2485 2840 3028 3785 3976 4970 5299 5680 6056 7570 7952 9940 10598 12112 15140 19880 21196 26495 30280 39760 42392 52990 53747 60560 84784 105980 107494 211960 214988 268735 376229 423920 429976 537470 752458 859952 1074940 1504916 1881145 2149880 3009832 3762290 4299760 6019664 7524580 15049160 30098320