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23969820 = 22357231263
BaseRepresentation
bin101101101110…
…0000000011100
31200002210102010
41123130000130
522114013240
62213431220
7410511600
oct133340034
950083363
1023969820
1112591976
12803b510
134c73334
14327d500
152187280
hex16dc01c

23969820 has 144 divisors (see below), whose sum is σ = 80898048. Its totient is φ = 5281920.

The previous prime is 23969809. The next prime is 23969831. The reversal of 23969820 is 2896932.

It is an interprime number because it is at equal distance from previous prime (23969809) and next prime (23969831).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 91009 + ... + 91271.

It is an arithmetic number, because the mean of its divisors is an integer number (561792).

Almost surely, 223969820 is an apocalyptic number.

23969820 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 23969820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40449024).

23969820 is an abundant number, since it is smaller than the sum of its proper divisors (56928228).

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

23969820 is a wasteful number, since it uses less digits than its factorization.

23969820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 23969820 is about 4895.8982832571. The cubic root of 23969820 is about 288.3289547562.

The spelling of 23969820 in words is "twenty-three million, nine hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 263 294 310 372 420 434 465 490 526 588 620 651 735 789 868 930 980 1052 1085 1302 1315 1470 1519 1578 1841 1860 2170 2604 2630 2940 3038 3156 3255 3682 3945 4340 4557 5260 5523 6076 6510 7364 7595 7890 8153 9114 9205 11046 12887 13020 15190 15780 16306 18228 18410 22092 22785 24459 25774 27615 30380 32612 36820 38661 40765 45570 48918 51548 55230 57071 64435 77322 81530 91140 97836 110460 114142 122295 128870 154644 163060 171213 193305 228284 244590 257740 285355 342426 386610 399497 489180 570710 684852 773220 798994 856065 1141420 1198491 1597988 1712130 1997485 2396982 3424260 3994970 4793964 5992455 7989940 11984910 23969820