Search a number
-
+
124125040 = 2451341271
BaseRepresentation
bin1110110010111…
…11111101110000
322122120012112201
413121133331300
5223234000130
620152232544
73035021404
oct731377560
9278505481
10124125040
1164079a86
123569b754
131c93c690
14126b1104
15ad6cbca
hex765ff70

124125040 has 120 divisors (see below), whose sum is σ = 323041824. Its totient is φ = 44083200.

The previous prime is 124125019. The next prime is 124125097. The reversal of 124125040 is 40521421.

It is a junction number, because it is equal to n+sod(n) for n = 124124999 and 124125017.

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, 1748205 + ... + 1748275.

Almost surely, 2124125040 is an apocalyptic number.

124125040 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 124125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161520912).

124125040 is an abundant number, since it is smaller than the sum of its proper divisors (198916784).

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

124125040 is a wasteful number, since it uses less digits than its factorization.

124125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 124125040 is about 11141.1417727269. The cubic root of 124125040 is about 498.8306540587.

Adding to 124125040 its reverse (40521421), we get a palindrome (164646461).

The spelling of 124125040 in words is "one hundred twenty-four million, one hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 71 80 82 104 130 142 164 205 208 260 284 328 355 410 520 533 568 656 710 820 923 1040 1066 1136 1420 1640 1681 1846 2132 2665 2840 2911 3280 3362 3692 4264 4615 5330 5680 5822 6724 7384 8405 8528 9230 10660 11644 13448 14555 14768 16810 18460 21320 21853 23288 26896 29110 33620 36920 37843 42640 43706 46576 58220 67240 73840 75686 87412 109265 116440 119351 134480 151372 174824 189215 218530 232880 238702 302744 349648 378430 437060 477404 596755 605488 756860 874120 954808 1193510 1513720 1551563 1748240 1909616 2387020 3027440 3103126 4774040 6206252 7757815 9548080 12412504 15515630 24825008 31031260 62062520 124125040