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4024023000 = 233537916979
BaseRepresentation
bin1110111111011001…
…1011011111011000
3101101102220112210220
43233312123133120
531220122214000
61503144440040
7201501426324
oct35766333730
911342815726
104024023000
111785502048
12943779020
134c18b2cca
142a2608984
1518841d1a0
hexefd9b7d8

4024023000 has 128 divisors (see below), whose sum is σ = 12714624000. Its totient is φ = 1059427200.

The previous prime is 4024022993. The next prime is 4024023001. The reversal of 4024023000 is 3204204.

It is a happy number.

It is a super-2 number, since 2×40240230002 = 32385522209058000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228511 + ... + 245489.

It is an arithmetic number, because the mean of its divisors is an integer number (99333000).

Almost surely, 24024023000 is an apocalyptic number.

4024023000 is a gapful number since it is divisible by the number (40) 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 4024023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357312000).

4024023000 is an abundant number, since it is smaller than the sum of its proper divisors (8690601000).

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

4024023000 is a wasteful number, since it uses less digits than its factorization.

4024023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17082 (or 17068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4024023000 is about 63435.1873962708. The cubic root of 4024023000 is about 1590.5725559523.

Adding to 4024023000 its reverse (3204204), we get a palindrome (4027227204).

The spelling of 4024023000 in words is "four billion, twenty-four million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 125 150 158 200 237 250 300 316 375 395 474 500 600 632 750 790 948 1000 1185 1500 1580 1896 1975 2370 3000 3160 3950 4740 5925 7900 9480 9875 11850 15800 16979 19750 23700 29625 33958 39500 47400 50937 59250 67916 79000 84895 101874 118500 135832 169790 203748 237000 254685 339580 407496 424475 509370 679160 848950 1018740 1273425 1341341 1697900 2037480 2122375 2546850 2682682 3395800 4024023 4244750 5093700 5365364 6367125 6706705 8048046 8489500 10187400 10730728 12734250 13413410 16096092 16979000 20120115 25468500 26826820 32192184 33533525 40240230 50937000 53653640 67067050 80480460 100600575 134134100 160960920 167667625 201201150 268268200 335335250 402402300 503002875 670670500 804804600 1006005750 1341341000 2012011500 4024023000