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20374160 = 2451771211
BaseRepresentation
bin100110110111…
…0001010010000
31102100010002112
41031232022100
520203433120
62004404452
7335114612
oct115561220
942303075
1020374160
1110556454
1269a6728
1342b4821
1429c4db2
151bc6bc5
hex136e290

20374160 has 80 divisors (see below), whose sum is σ = 51103872. Its totient is φ = 7526400.

The previous prime is 20374141. The next prime is 20374163. The reversal of 20374160 is 6147302.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20374163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96455 + ... + 96665.

Almost surely, 220374160 is an apocalyptic number.

20374160 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 20374160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551936).

20374160 is an abundant number, since it is smaller than the sum of its proper divisors (30729712).

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

20374160 is a wasteful number, since it uses less digits than its factorization.

20374160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 20374160 is about 4513.7744737636. The cubic root of 20374160 is about 273.1240251001.

The spelling of 20374160 in words is "twenty million, three hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 211 272 284 340 355 422 568 680 710 844 1055 1136 1207 1360 1420 1688 2110 2414 2840 3376 3587 4220 4828 5680 6035 7174 8440 9656 12070 14348 14981 16880 17935 19312 24140 28696 29962 35870 48280 57392 59924 71740 74905 96560 119848 143480 149810 239696 254677 286960 299620 509354 599240 1018708 1198480 1273385 2037416 2546770 4074832 5093540 10187080 20374160