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1423064400 = 243523732051
BaseRepresentation
bin101010011010010…
…0011110101010000
310200011202011100220
41110310203311100
510403301030100
6353113113040
750156563542
oct12464436520
93604664326
101423064400
1167031238a
123386b8780
13198a95954
14d6dd7692
1584dedaa0
hex54d23d50

1423064400 has 120 divisors (see below), whose sum is σ = 4681899744. Its totient is φ = 369216000.

The previous prime is 1423064381. The next prime is 1423064417. The reversal of 1423064400 is 44603241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14230644002 = 4050224573094720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28375 + ... + 60425.

Almost surely, 21423064400 is an apocalyptic number.

1423064400 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 1423064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340949872).

1423064400 is an abundant number, since it is smaller than the sum of its proper divisors (3258835344).

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

1423064400 is a wasteful number, since it uses less digits than its factorization.

1423064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32109 (or 32098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1423064400 is about 37723.5258161270. The cubic root of 1423064400 is about 1124.7988183462.

Adding to 1423064400 its reverse (44603241), we get a palindrome (1467667641).

The spelling of 1423064400 in words is "one billion, four hundred twenty-three million, sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 32051 44400 64102 96153 128204 160255 192306 256408 320510 384612 480765 512816 641020 769224 801275 961530 1185887 1282040 1538448 1602550 1923060 2371774 2403825 2564080 3205100 3557661 3846120 4743548 4807650 5929435 6410200 7115322 7692240 9487096 9615300 11858870 12820400 14230644 17788305 18974192 19230600 23717740 28461288 29647175 35576610 38461200 47435480 56922576 59294350 71153220 88941525 94870960 118588700 142306440 177883050 237177400 284612880 355766100 474354800 711532200 1423064400