Search a number
-
+
125434368 = 2932163167
BaseRepresentation
bin1110111100111…
…11101000000000
322202000201121100
413132133220000
5224102344433
620240254400
73052113603
oct736375000
9282021540
10125434368
1164893774
1236011400
131ccaa627
141293233a
15b02ab13
hex779fa00

125434368 has 120 divisors (see below), whose sum is σ = 366414048. Its totient is φ = 41306112.

The previous prime is 125434363. The next prime is 125434369. The reversal of 125434368 is 863434521.

125434368 is a `hidden beast` number, since 1 + 254 + 343 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125434363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751021 + ... + 751187.

Almost surely, 2125434368 is an apocalyptic number.

125434368 is a gapful number since it is divisible by the number (18) 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 125434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207024).

125434368 is an abundant number, since it is smaller than the sum of its proper divisors (240979680).

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

125434368 is a wasteful number, since it uses less digits than its factorization.

125434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 125434368 is about 11199.7485686064. The cubic root of 125434368 is about 500.5784877790.

Adding to 125434368 its reverse (863434521), we get a palindrome (988868889).

The spelling of 125434368 in words is "one hundred twenty-five million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 167 192 256 288 326 334 384 489 501 512 576 652 668 768 978 1002 1152 1304 1336 1467 1503 1536 1956 2004 2304 2608 2672 2934 3006 3912 4008 4608 5216 5344 5868 6012 7824 8016 10432 10688 11736 12024 15648 16032 20864 21376 23472 24048 27221 31296 32064 41728 42752 46944 48096 54442 62592 64128 81663 83456 85504 93888 96192 108884 125184 128256 163326 187776 192384 217768 244989 250368 256512 326652 375552 384768 435536 489978 653304 751104 769536 871072 979956 1306608 1742144 1959912 2613216 3484288 3919824 5226432 6968576 7839648 10452864 13937152 15679296 20905728 31358592 41811456 62717184 125434368