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30099840 = 273561257
BaseRepresentation
bin111001011010…
…0100110000000
32002122020012220
41302310212000
530201143330
62553051040
7513562431
oct162644600
962566186
1030099840
1115a99501
12a0b6a80
13630b574
143dd7488
152998710
hex1cb4980

30099840 has 128 divisors (see below), whose sum is σ = 97895520. Its totient is φ = 7864320.

The previous prime is 30099763. The next prime is 30099841. The reversal of 30099840 is 4899003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30099841) 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, 116992 + ... + 117248.

Almost surely, 230099840 is an apocalyptic number.

30099840 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 30099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48947760).

30099840 is an abundant number, since it is smaller than the sum of its proper divisors (67795680).

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

30099840 is a wasteful number, since it uses less digits than its factorization.

30099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 30099840 is about 5486.3321080664. The cubic root of 30099840 is about 311.0675645777.

The spelling of 30099840 in words is "thirty million, ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 257 305 320 366 384 480 488 514 610 640 732 771 915 960 976 1028 1220 1285 1464 1542 1830 1920 1952 2056 2440 2570 2928 3084 3660 3855 3904 4112 4880 5140 5856 6168 7320 7710 7808 8224 9760 10280 11712 12336 14640 15420 15677 16448 19520 20560 23424 24672 29280 30840 31354 32896 39040 41120 47031 49344 58560 61680 62708 78385 82240 94062 98688 117120 123360 125416 156770 164480 188124 235155 246720 250832 313540 376248 470310 493440 501664 627080 752496 940620 1003328 1254160 1504992 1881240 2006656 2508320 3009984 3762480 5016640 6019968 7524960 10033280 15049920 30099840