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172103680 = 211575
BaseRepresentation
bin10100100001000…
…01100000000000
3102222211202212101
422100201200000
5323024304210
625024440144
74156600000
oct1220414000
9388752771
10172103680
118916a051
1249779054
132986a9c8
1418c00000
1510198a3a
hexa421800

172103680 has 144 divisors (see below), whose sum is σ = 481768560. Its totient is φ = 59006976.

The previous prime is 172103677. The next prime is 172103683. The reversal of 172103680 is 86301271.

It is an interprime number because it is at equal distance from previous prime (172103677) and next prime (172103683).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172103683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24586237 + ... + 24586243.

It is an arithmetic number, because the mean of its divisors is an integer number (3345615).

Almost surely, 2172103680 is an apocalyptic number.

172103680 is a gapful number since it is divisible by the number (10) 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 172103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240884280).

172103680 is an abundant number, since it is smaller than the sum of its proper divisors (309664880).

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

172103680 is an frugal number, since it uses more digits than its factorization.

172103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 172103680 is about 13118.8292160543. The cubic root of 172103680 is about 556.2414974924.

The spelling of 172103680 in words is "one hundred seventy-two million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 512 560 640 686 784 896 980 1024 1120 1280 1372 1568 1715 1792 1960 2048 2240 2401 2560 2744 3136 3430 3584 3920 4480 4802 5120 5488 6272 6860 7168 7840 8960 9604 10240 10976 12005 12544 13720 14336 15680 16807 17920 19208 21952 24010 25088 27440 31360 33614 35840 38416 43904 48020 50176 54880 62720 67228 71680 76832 84035 87808 96040 100352 109760 125440 134456 153664 168070 175616 192080 219520 250880 268912 307328 336140 351232 384160 439040 501760 537824 614656 672280 702464 768320 878080 1075648 1229312 1344560 1536640 1756160 2151296 2458624 2689120 3073280 3512320 4302592 4917248 5378240 6146560 8605184 10756480 12293120 17210368 21512960 24586240 34420736 43025920 86051840 172103680