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19955712 = 2153729
BaseRepresentation
bin100110000100…
…0000000000000
31101112212002110
41030020000000
520102040322
61551415320
7331422630
oct114100000
941485073
1019955712
11102a0027
126824540
13419921a
1429166c0
151b42c0c
hex1308000

19955712 has 128 divisors (see below), whose sum is σ = 62913600. Its totient is φ = 5505024.

The previous prime is 19955711. The next prime is 19955717. The reversal of 19955712 is 21755991.

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

It is not an unprimeable number, because it can be changed into a prime (19955711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688114 + ... + 688142.

Almost surely, 219955712 is an apocalyptic number.

19955712 is a gapful number since it is divisible by the number (12) 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 19955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31456800).

19955712 is an abundant number, since it is smaller than the sum of its proper divisors (42957888).

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

19955712 is an frugal number, since it uses more digits than its factorization.

19955712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its digits is 28350, while the sum is 39.

The square root of 19955712 is about 4467.1816618535. The cubic root of 19955712 is about 271.2412533724.

The spelling of 19955712 in words is "nineteen million, nine hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 512 609 672 696 768 812 896 928 1024 1218 1344 1392 1536 1624 1792 1856 2048 2436 2688 2784 3072 3248 3584 3712 4096 4872 5376 5568 6144 6496 7168 7424 8192 9744 10752 11136 12288 12992 14336 14848 16384 19488 21504 22272 24576 25984 28672 29696 32768 38976 43008 44544 49152 51968 57344 59392 77952 86016 89088 98304 103936 114688 118784 155904 172032 178176 207872 229376 237568 311808 344064 356352 415744 475136 623616 688128 712704 831488 950272 1247232 1425408 1662976 2494464 2850816 3325952 4988928 6651904 9977856 19955712