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20497920 = 293517157
BaseRepresentation
bin100111000110…
…0011000000000
31102120101212020
41032030120000
520221413140
62011201440
7336141462
oct116143000
942511766
1020497920
1110630433
126a46280
134328c61
142a18132
151bed6d0
hex138c600

20497920 has 160 divisors (see below), whose sum is σ = 69825888. Its totient is φ = 5111808.

The previous prime is 20497901. The next prime is 20497921. The reversal of 20497920 is 2979402.

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 (20497921) 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, 130482 + ... + 130638.

Almost surely, 220497920 is an apocalyptic number.

20497920 is a gapful number since it is divisible by the number (20) 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 20497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34912944).

20497920 is an abundant number, since it is smaller than the sum of its proper divisors (49327968).

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

20497920 is a wasteful number, since it uses less digits than its factorization.

20497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 20497920 is about 4527.4628656677. The cubic root of 20497920 is about 273.6759270824.

The spelling of 20497920 in words is "twenty million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 157 160 170 192 204 240 255 256 272 314 320 340 384 408 471 480 510 512 544 628 640 680 768 785 816 942 960 1020 1088 1256 1280 1360 1536 1570 1632 1884 1920 2040 2176 2355 2512 2560 2669 2720 3140 3264 3768 3840 4080 4352 4710 5024 5338 5440 6280 6528 7536 7680 8007 8160 8704 9420 10048 10676 10880 12560 13056 13345 15072 16014 16320 18840 20096 21352 21760 25120 26112 26690 30144 32028 32640 37680 40035 40192 42704 43520 50240 53380 60288 64056 65280 75360 80070 80384 85408 100480 106760 120576 128112 130560 150720 160140 170816 200960 213520 241152 256224 301440 320280 341632 401920 427040 512448 602880 640560 683264 854080 1024896 1205760 1281120 1366528 1708160 2049792 2562240 3416320 4099584 5124480 6832640 10248960 20497920