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30696960 = 29357571
BaseRepresentation
bin111010100011…
…0011000000000
32010202120022110
41311012120000
530324300320
63013535320
7521630340
oct165063000
963676273
1030696960
1116367098
12a344540
13648a2a8
144110d20
152a655e0
hex1d46600

30696960 has 160 divisors (see below), whose sum is σ = 112349952. Its totient is φ = 7004160.

The previous prime is 30696959. The next prime is 30696961. The reversal of 30696960 is 6969603.

It is an interprime number because it is at equal distance from previous prime (30696959) and next prime (30696961).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30696961) 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, 53475 + ... + 54045.

Almost surely, 230696960 is an apocalyptic number.

30696960 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 30696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56174976).

30696960 is an abundant number, since it is smaller than the sum of its proper divisors (81652992).

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

30696960 is an equidigital number, since it uses as much as digits as its factorization.

30696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 30696960 is about 5540.4837333937. The cubic root of 30696960 is about 313.1110943582. Note that the first 3 decimals are identical.

The spelling of 30696960 in words is "thirty million, six hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 571 640 672 768 840 896 960 1120 1142 1280 1344 1536 1680 1713 1792 1920 2240 2284 2560 2688 2855 3360 3426 3584 3840 3997 4480 4568 5376 5710 6720 6852 7680 7994 8565 8960 9136 10752 11420 11991 13440 13704 15988 17130 17920 18272 19985 22840 23982 26880 27408 31976 34260 36544 39970 45680 47964 53760 54816 59955 63952 68520 73088 79940 91360 95928 109632 119910 127904 137040 146176 159880 182720 191856 219264 239820 255808 274080 292352 319760 365440 383712 438528 479640 511616 548160 639520 730880 767424 877056 959280 1023232 1096320 1279040 1461760 1534848 1918560 2046464 2192640 2558080 3069696 3837120 4385280 5116160 6139392 7674240 10232320 15348480 30696960