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19923813 = 357131753
BaseRepresentation
bin100110000000…
…0001101100101
31101111020100000
41030000031211
520100030223
61551011513
7331230630
oct114001545
941436300
1019923813
1110279068
126809b99
134187850
142908c17
151b38543
hex1300365

19923813 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 9704448.

The previous prime is 19923811. The next prime is 19923823. The reversal of 19923813 is 31832991.

It is not a de Polignac number, because 19923813 - 21 = 19923811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19923811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375895 + ... + 375947.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 219923813 is an apocalyptic number.

19923813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

19923813 is a deficient number, since it is larger than the sum of its proper divisors (19702683).

19923813 is a wasteful number, since it uses less digits than its factorization.

19923813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 19923813 is about 4463.6098619839. The cubic root of 19923813 is about 271.0966508469.

It can be divided in two parts, 19923 and 813, that added together give a 4-th power (20736 = 124).

The spelling of 19923813 in words is "nineteen million, nine hundred twenty-three thousand, eight hundred thirteen".

Divisors: 1 3 7 9 13 17 21 27 39 51 53 63 81 91 117 119 153 159 189 221 243 273 351 357 371 459 477 567 663 689 819 901 1053 1071 1113 1377 1431 1547 1701 1989 2067 2457 2703 3159 3213 3339 4131 4293 4641 4823 5967 6201 6307 7371 8109 9639 10017 11713 12879 13923 14469 17901 18603 18921 22113 24327 28917 30051 35139 41769 43407 53703 55809 56763 72981 81991 90153 105417 125307 130221 167427 170289 218943 245973 316251 375921 390663 510867 737919 948753 1171989 1532601 2213757 2846259 6641271 19923813