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125213424 = 24372139383
BaseRepresentation
bin1110111011010…
…01101011110000
322201121111112020
413131221223300
5224023312144
620231431440
73050203500
oct735515360
9281544466
10125213424
1164752776
1235b25580
131cc30bab
14128b5a00
15aed5419
hex7769af0

125213424 has 120 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 35425152.

The previous prime is 125213411. The next prime is 125213461. The reversal of 125213424 is 424312521.

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

It is a junction number, because it is equal to n+sod(n) for n = 125213394 and 125213403.

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, 326737 + ... + 327119.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2125213424 is an apocalyptic number.

125213424 is a gapful number since it is divisible by the number (14) 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 125213424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

125213424 is an abundant number, since it is smaller than the sum of its proper divisors (254762256).

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

125213424 is a wasteful number, since it uses less digits than its factorization.

125213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 125213424 is about 11189.8804283156. The cubic root of 125213424 is about 500.2844035319.

Adding to 125213424 its reverse (424312521), we get a palindrome (549525945).

The spelling of 125213424 in words is "one hundred twenty-five million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 139 147 168 196 278 294 336 383 392 417 556 588 766 784 834 973 1112 1149 1176 1532 1668 1946 2224 2298 2352 2681 2919 3064 3336 3892 4596 5362 5838 6128 6672 6811 7784 8043 9192 10724 11676 13622 15568 16086 18384 18767 20433 21448 23352 27244 32172 37534 40866 42896 46704 53237 54488 56301 64344 75068 81732 106474 108976 112602 128688 150136 159711 163464 212948 225204 300272 319422 326928 372659 425896 450408 638844 745318 851792 900816 1117977 1277688 1490636 2235954 2555376 2608613 2981272 4471908 5217226 5962544 7825839 8943816 10434452 15651678 17887632 20868904 31303356 41737808 62606712 125213424