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30939840 = 263353581
BaseRepresentation
bin111011000000…
…1101011000000
32011012220111000
41312001223000
530410033330
63023052000
7523661421
oct166015300
964186430
1030939840
1116512618
12a441000
1365439c9
144175648
152ab2560
hex1d81ac0

30939840 has 112 divisors (see below), whose sum is σ = 109179360. Its totient is φ = 8248320.

The previous prime is 30939817. The next prime is 30939841. The reversal of 30939840 is 4893903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 30939795 and 30939804.

It is not an unprimeable number, because it can be changed into a prime (30939841) 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, 6850 + ... + 10430.

Almost surely, 230939840 is an apocalyptic number.

30939840 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 30939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54589680).

30939840 is an abundant number, since it is smaller than the sum of its proper divisors (78239520).

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

30939840 is a wasteful number, since it uses less digits than its factorization.

30939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30939840 is about 5562.3592117015. The cubic root of 30939840 is about 313.9347234722.

The spelling of 30939840 in words is "thirty million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 3581 4320 7162 8640 10743 14324 17905 21486 28648 32229 35810 42972 53715 57296 64458 71620 85944 96687 107430 114592 128916 143240 161145 171888 193374 214860 229184 257832 286480 322290 343776 386748 429720 483435 515664 572960 644580 687552 773496 859440 966870 1031328 1145920 1289160 1546992 1718880 1933740 2062656 2578320 3093984 3437760 3867480 5156640 6187968 7734960 10313280 15469920 30939840