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125844480 = 2103252731
BaseRepresentation
bin1111000000000…
…11110000000000
322202210120011200
413200003300000
5224204010410
620253141200
73055442346
oct740036000
9282716150
10125844480
1165043903
123618a800
13200c21b8
14129db996
15b0ac3c0
hex7803c00

125844480 has 132 divisors (see below), whose sum is σ = 436207512. Its totient is φ = 33546240.

The previous prime is 125844401. The next prime is 125844491. The reversal of 125844480 is 84448521.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44715 + ... + 47445.

Almost surely, 2125844480 is an apocalyptic number.

125844480 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 125844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218103756).

125844480 is an abundant number, since it is smaller than the sum of its proper divisors (310363032).

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

125844480 is a wasteful number, since it uses less digits than its factorization.

125844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 125844480 is about 11218.0426100100. The cubic root of 125844480 is about 501.1234471756.

The spelling of 125844480 in words is "one hundred twenty-five million, eight hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2731 2880 3072 3840 4608 5120 5462 5760 7680 8193 9216 10924 11520 13655 15360 16386 21848 23040 24579 27310 32772 40965 43696 46080 49158 54620 65544 81930 87392 98316 109240 122895 131088 163860 174784 196632 218480 245790 262176 327720 349568 393264 436960 491580 524352 655440 699136 786528 873920 983160 1048704 1310880 1398272 1573056 1747840 1966320 2097408 2621760 2796544 3146112 3495680 3932640 4194816 5243520 6292224 6991360 7865280 8389632 10487040 12584448 13982720 15730560 20974080 25168896 31461120 41948160 62922240 125844480