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1423152120 = 2335135991523
BaseRepresentation
bin101010011010011…
…1001001111111000
310200011220121200210
41110310321033320
510403311331440
6353115031120
750160410355
oct12464711770
93604817623
101423152120
11670372285
1233873b4a0
13198ac6860
14d701b62c
1584e19a80
hex54d393f8

1423152120 has 128 divisors (see below), whose sum is σ = 4608576000. Its totient is φ = 349499904.

The previous prime is 1423152103. The next prime is 1423152239. The reversal of 1423152120 is 212513241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933679 + ... + 935201.

It is an arithmetic number, because the mean of its divisors is an integer number (36004500).

Almost surely, 21423152120 is an apocalyptic number.

1423152120 is a gapful number since it is divisible by the number (10) 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 1423152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304288000).

1423152120 is an abundant number, since it is smaller than the sum of its proper divisors (3185423880).

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

1423152120 is a wasteful number, since it uses less digits than its factorization.

1423152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1423152120 is about 37724.6884678986. The cubic root of 1423152120 is about 1124.8219293464.

Adding to 1423152120 its reverse (212513241), we get a palindrome (1635665361).

The spelling of 1423152120 in words is "one billion, four hundred twenty-three million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 599 780 1198 1523 1560 1797 2396 2995 3046 3594 4569 4792 5990 6092 7188 7615 7787 8985 9138 11980 12184 14376 15230 15574 17970 18276 19799 22845 23361 23960 30460 31148 35940 36552 38935 39598 45690 46722 59397 60920 62296 71880 77870 79196 91380 93444 98995 116805 118794 155740 158392 182760 186888 197990 233610 237588 296985 311480 395980 467220 475176 593970 791960 912277 934440 1187940 1824554 2375880 2736831 3649108 4561385 5473662 7298216 9122770 10947324 11859601 13684155 18245540 21894648 23719202 27368310 35578803 36491080 47438404 54736620 59298005 71157606 94876808 109473240 118596010 142315212 177894015 237192020 284630424 355788030 474384040 711576060 1423152120