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125211480 = 23353197347
BaseRepresentation
bin1110111011010…
…01001101011000
322201121101212020
413131221031120
5224023231410
620231414440
73050165022
oct735511530
9281541766
10125211480
1164751269
1235b24420
131cc30044
14128b5012
15aed4a70
hex7769358

125211480 has 128 divisors (see below), whose sum is σ = 392878080. Its totient is φ = 31887360.

The previous prime is 125211469. The next prime is 125211481. The reversal of 125211480 is 84112521.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125211480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125211481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360667 + ... + 361013.

It is an arithmetic number, because the mean of its divisors is an integer number (3069360).

Almost surely, 2125211480 is an apocalyptic number.

125211480 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 125211480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196439040).

125211480 is an abundant number, since it is smaller than the sum of its proper divisors (267666600).

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

125211480 is a wasteful number, since it uses less digits than its factorization.

125211480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 125211480 is about 11189.7935637794. The cubic root of 125211480 is about 500.2818144647.

The spelling of 125211480 in words is "one hundred twenty-five million, two hundred eleven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 97 120 124 155 186 194 248 291 310 347 372 388 465 485 582 620 694 744 776 930 970 1041 1164 1240 1388 1455 1735 1860 1940 2082 2328 2776 2910 3007 3470 3720 3880 4164 5205 5820 6014 6940 8328 9021 10410 10757 11640 12028 13880 15035 18042 20820 21514 24056 30070 32271 33659 36084 41640 43028 45105 53785 60140 64542 67318 72168 86056 90210 100977 107570 120280 129084 134636 161355 168295 180420 201954 215140 258168 269272 322710 336590 360840 403908 430280 504885 645420 673180 807816 1009770 1043429 1290840 1346360 2019540 2086858 3130287 4039080 4173716 5217145 6260574 8347432 10434290 12521148 15651435 20868580 25042296 31302870 41737160 62605740 125211480